A010926 -id:A010926 - cp's OEIS frontend

A017785 Binomial coefficients C(69,n).

1, 69, 2346, 52394, 864501, 11238513, 119877472, 1078897248, 8361453672, 56672074888, 340032449328, 1823810410032, 8815083648488, 38650751381832, 154603005527328, 566877686933536, 1913212193400684, 5964720367660956, 17231414395464984

Offset: 0

N. J. A. Sloane

Row 69 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..69 (full sequence)

Cf. A010926-A011001, A017765-A017784, A017786-A017816.

[Binomial(69,n): n in [0..69]]; // G. C. Greubel, Nov 14 2018

seq(binomial(69,n), n=0..69); # Nathaniel Johnston, Jun 24 2011

Binomial[69,Range[0,20]] (* Harvey P. Dale, May 27 2012 *)

vector(69, n, n--; binomial(69,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(69, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^69.
E.g.f.: 1F1(-69; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017786 Binomial coefficients C(70,n).

Original entry on oeis.org

1, 70, 2415, 54740, 916895, 12103014, 131115985, 1198774720, 9440350920, 65033528560, 396704524216, 2163842859360, 10638894058520, 47465835030320, 193253756909160, 721480692460864, 2480089880334220, 7877932561061640, 23196134763125940

Offset: 0

N. J. A. Sloane

Row 70 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..70 (full sequence)

Cf. A010926-A011001, A017765-A017785, A017787-A017816.

[Binomial(70,n): n in [0..70]]; // G. C. Greubel, Nov 14 2018

seq(binomial(70,n), n=0..70); # Nathaniel Johnston, Jun 24 2011

Binomial[70, Range[0,70]] (* G. C. Greubel, Nov 14 2018 *)

vector(70, n, n--; binomial(70,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(70, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^70.
E.g.f.: 1F1(-70; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017787 Binomial coefficients C(71,n).

Original entry on oeis.org

1, 71, 2485, 57155, 971635, 13019909, 143218999, 1329890705, 10639125640, 74473879480, 461738052776, 2560547383576, 12802736917880, 58104729088840, 240719591939480, 914734449370024, 3201570572795084, 10358022441395860, 31074067324187580

Offset: 0

N. J. A. Sloane

Row 71 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..71 (full sequence)

Cf. A010926-A011001, A017765-A017786, A017788-A017816.

[Binomial(71,n): n in [0..71]]; // G. C. Greubel, Nov 14 2018

seq(binomial(71,n), n=0..71); # Nathaniel Johnston, Jun 24 2011

Binomial[71,Range[0,71]] (* Harvey P. Dale, Jun 15 2016 *)

vector(71, n, n--; binomial(71,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(71, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^71.
E.g.f.: 1F1(-71; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017788 Binomial coefficients C(72,n).

Original entry on oeis.org

1, 72, 2556, 59640, 1028790, 13991544, 156238908, 1473109704, 11969016345, 85113005120, 536211932256, 3022285436352, 15363284301456, 70907466006720, 298824321028320, 1155454041309504, 4116305022165108, 13559593014190944, 41432089765583440

Offset: 0

N. J. A. Sloane

Row 72 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..72 (full sequence)

Cf. A010926-A011001, A017765-A017787, A017789-A017816.

List([0..72], n -> Binomial(72,n)); # G. C. Greubel, Nov 15 2018

[Binomial(72,n): n in [0..72]]; // G. C. Greubel, Nov 15 2018

seq(binomial(72,n), n=0..72); # Nathaniel Johnston, Jun 24 2011

Binomial[72, Range[0,72]] (* G. C. Greubel, Nov 15 2018 *)

vector(72, n, n--; binomial(72,n)) \\ G. C. Greubel, Nov 15 2018

[binomial(72, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 15 2018: (Start)
G.f.: (1+x)^72.
E.g.f.: 1F1(-72; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017789 Binomial coefficients C(73,n).

Original entry on oeis.org

1, 73, 2628, 62196, 1088430, 15020334, 170230452, 1629348612, 13442126049, 97082021465, 621324937376, 3558497368608, 18385569737808, 86270750308176, 369731787035040, 1454278362337824, 5271759063474612, 17675898036356052, 54991682779774384

Offset: 0

N. J. A. Sloane

Row 73 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..73 (full sequence)

Cf. A010926-A011001, A017765-A017788, A017790-A017816.

List([0..73], n -> Binomial(73,n)); # G. C. Greubel, Nov 15 2018

[Binomial(73,n): n in [0..73]]; // G. C. Greubel, Nov 15 2018

seq(binomial(73,n), n=0..73); # Nathaniel Johnston, Jun 24 2011

Binomial[73, Range[0,73]] (* G. C. Greubel, Nov 15 2018 *)

vector(73, n, n--; binomial(73,n)) \\ G. C. Greubel, Nov 15 2018

[binomial(73, n) for n in range(17)] # Zerinvary Lajos, May 28 2005

From G. C. Greubel, Nov 15 2018: (Start)
G.f.: (1+x)^73.
E.g.f.: 1F1(-73; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017790 Binomial coefficients C(74,n).

Original entry on oeis.org

1, 74, 2701, 64824, 1150626, 16108764, 185250786, 1799579064, 15071474661, 110524147514, 718406958841, 4179822305984, 21944067106416, 104656320045984, 456002537343216, 1824010149372864, 6726037425812436, 22947657099830664, 72667580816130436

Offset: 0

N. J. A. Sloane

Row 74 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..74 (full sequence)

Cf. A010926-A011001, A017765-A017789, A017791-A017816.

List([0..74], n -> Binomial(74,n)); # G. C. Greubel, Nov 15 2018

[Binomial(74,n): n in [0..74]]; // G. C. Greubel, Nov 15 2018

seq(binomial(74,n), n=0..74); # Nathaniel Johnston, Jun 24 2011

Binomial[74, Range[0,74]] (* G. C. Greubel, Nov 15 2018 *)

vector(74, n, n--; binomial(74,n)) \\ G. C. Greubel, Nov 15 2018

[binomial(74, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 15 2018: (Start)
G.f.: (1+x)^74.
E.g.f.: 1F1(-74; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017791 Binomial coefficients C(75,n).

Original entry on oeis.org

1, 75, 2775, 67525, 1215450, 17259390, 201359550, 1984829850, 16871053725, 125595622175, 828931106355, 4898229264825, 26123889412400, 126600387152400, 560658857389200, 2280012686716080, 8550047575185300, 29673694525643100, 95615237915961100

Offset: 0

N. J. A. Sloane

Row 75 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..75 (full sequence)

Cf. A010926-A011001, A017765-A017790, A017792-A017816.

List([0..75], n -> Binomial(75,n)); # G. C. Greubel, Nov 15 2018

[Binomial(75,n): n in [0..75]]; // G. C. Greubel, Nov 15 2018

seq(binomial(75,n), n=0..75); # Nathaniel Johnston, Jun 24 2011

Binomial[75, Range[0,75]] (* G. C. Greubel, Nov 15 2018 *)

vector(75, n, n--; binomial(75,n)) \\ G. C. Greubel, Nov 15 2018

[binomial(75, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 15 2018: (Start)
G.f.: (1+x)^75.
E.g.f.: 1F1(-75; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017792 Binomial coefficients C(76,n).

Original entry on oeis.org

1, 76, 2850, 70300, 1282975, 18474840, 218618940, 2186189400, 18855883575, 142466675900, 954526728530, 5727160371180, 31022118677225, 152724276564800, 687259244541600, 2840671544105280, 10830060261901380, 38223742100828400, 125288932441604200

Offset: 0

N. J. A. Sloane

Row 76 of Pascal's triangle (A007318).

Nathaniel Johnston, Table of n, a(n) for n = 0..76 (full sequence)

Cf. A010926-A011001, A017765-A017791, A017793-A017816.

List([0..76], n -> Binomial(76,n)); # G. C. Greubel, Nov 15 2018

[Binomial(76,n): n in [0..76]]; // G. C. Greubel, Nov 15 2018

seq(binomial(76,n), n=0..76); # Nathaniel Johnston, Jun 24 2011

Binomial[76, Range[0, 18]] (* Alonso del Arte, Dec 01 2017 *)

PARI
```
Vec((x+1)^76) \\ Iain Fox, Dec 01 2017
```

vector(76, n, n--; binomial(76,n)) \\ G. C. Greubel, Nov 15 2018

[binomial(76, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

G.f.: (x+1)^76.

E.g.f.: 1F1(-74; 1; -x), where 1F1 is the confluent hypergeometric function. - G. C. Greubel, Nov 15 2018

A017793 Binomial coefficients C(77, n).

Original entry on oeis.org

1, 77, 2926, 73150, 1353275, 19757815, 237093780, 2404808340, 21042072975, 161322559475, 1096993404430, 6681687099710, 36749279048405, 183746395242025, 839983521106400, 3527930788646880, 13670731806006660, 49053802362729780, 163512674542432600

Offset: 0

N. J. A. Sloane

Row 77 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..77 (full sequence)

Cf. A010926-A011001, A017765-A017792, A017794-A017816.

List([0..77], n -> Binomial(77,n)); # G. C. Greubel, Nov 15 2018

[Binomial(77,n): n in [0..77]]; // G. C. Greubel, Nov 15 2018

seq(binomial(77,n), n=0..77); # Nathaniel Johnston, Jun 24 2011

Binomial[77, Range[0, 20]] (* Alonso del Arte, Nov 19 2017 *)

PARI
```
Vec((x+1)^77) \\ Iain Fox, Nov 20 2017
```

vector(77, n, n--; binomial(77,n)) \\ G. C. Greubel, Nov 15 2018

[binomial(77, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

G.f.: (x + 1)^77. - Iain Fox, Nov 20 2017

E.g.f.: 1F1(-77; 1; -x), where 1F1 is the confluent hypergeometric function. - G. C. Greubel, Nov 15 2018

A017794 Binomial coefficients C(78,n).

Original entry on oeis.org

1, 78, 3003, 76076, 1426425, 21111090, 256851595, 2641902120, 23446881315, 182364632450, 1258315963905, 7778680504140, 43430966148115, 220495674290430, 1023729916348425, 4367914309753280, 17198662594653540, 62724534168736440, 212566476905162380

Offset: 0

N. J. A. Sloane

Row 78 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..78 (full sequence)

Cf. A010926-A011001, A017765-A017793, A017795-A017816.

List([0..78], n -> Binomial(78,n)); # G. C. Greubel, Nov 15 2018

[Binomial(78,n): n in [0..78]]; // G. C. Greubel, Nov 15 2018

seq(binomial(78,n), n=0..78); # Nathaniel Johnston, Jun 24 2011

Binomial[78,Range[0,30]] (* Harvey P. Dale, Feb 01 2013 *)

vector(78, n, n--; binomial(78,n)) \\ G. C. Greubel, Nov 15 2018

[binomial(78, n) for n in range(17)] # Zerinvary Lajos, May 29 2009

From G. C. Greubel, Nov 15 2018: (Start)
G.f.: (1+x)^78.
E.g.f.: 1F1(-78; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

cp's OEIS Frontend

A017785 Binomial coefficients C(69,n).

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A017786 Binomial coefficients C(70,n).

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Magma

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A017787 Binomial coefficients C(71,n).

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Magma

Maple

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Sage

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A017788 Binomial coefficients C(72,n).

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Magma

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Sage

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A017789 Binomial coefficients C(73,n).

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GAP

Magma

Maple

Mathematica

PARI

Sage

Formula

A017790 Binomial coefficients C(74,n).

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