A017765 -id:A017765 - cp's OEIS frontend

A017816 Binomial coefficients C(100,n).

1, 100, 4950, 161700, 3921225, 75287520, 1192052400, 16007560800, 186087894300, 1902231808400, 17310309456440, 141629804643600, 1050421051106700, 7110542499799200, 44186942677323600, 253338471349988640, 1345860629046814650, 6650134872937201800

Offset: 0

N. J. A. Sloane

Row 100 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..100 (full sequence)

Cf. A010926-A011001, A017765-A017815.

seq(binomial(100,n), n=0..100); # Nathaniel Johnston, Jun 24 2011

Binomial[100,Range[0,20]] (* Harvey P. Dale, Jul 08 2016 *)

[binomial(100, n) for n in range(16)] # Zerinvary Lajos, May 29 2009

A017768 Binomial coefficients C(52,n).

Original entry on oeis.org

1, 52, 1326, 22100, 270725, 2598960, 20358520, 133784560, 752538150, 3679075400, 15820024220, 60403728840, 206379406870, 635013559600, 1768966344600, 4481381406320, 10363194502115, 21945588357420, 42671977361650, 76360380541900, 125994627894135

Offset: 0

N. J. A. Sloane

Row 52 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..52 (full sequence)

Cf. A010926-A011001, A017765-A017816.

[Binomial(52,n): n in [0..52]]; // G. C. Greubel, Nov 13 2018

seq(binomial(52,n), n=0..52); # Nathaniel Johnston, Jun 24 2011

Binomial[52,Range[0,50]] (* Harvey P. Dale, Jun 02 2017 *)

vector(52, n, n--; binomial(52,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(52, n) for n in range(53)] # Zerinvary Lajos, May 23 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^52.
E.g.f.: 1F1(-52; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017770 Binomial coefficients C(54,n).

Original entry on oeis.org

1, 54, 1431, 24804, 316251, 3162510, 25827165, 177100560, 1040465790, 5317936260, 23930713170, 95722852680, 343006888770, 1108176102180, 3245372870670, 8654327655120, 21094923659355, 47153358767970, 96926348578605, 183649923622620, 321387366339585

Offset: 0

N. J. A. Sloane

Row 54 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..54 (full sequence)

Cf. A010926-A011001, A017765-A017769, A017771-A017816.

[Binomial(54,n): n in [0..54]]; // G. C. Greubel, Nov 13 2018

seq(binomial(54,n), n=0..54); # Nathaniel Johnston, Jun 24 2011

Binomial[54,Range[0,54]] (* G. C. Greubel, Nov 13 2018 *)

vector(54, n, n--; binomial(54,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(54, n) for n in range(55)] # Zerinvary Lajos, May 23 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^54.
E.g.f.: 1F1(-54; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017771 Binomial coefficients C(55,n).

Original entry on oeis.org

1, 55, 1485, 26235, 341055, 3478761, 28989675, 202927725, 1217566350, 6358402050, 29248649430, 119653565850, 438729741450, 1451182990950, 4353548972850, 11899700525790, 29749251314475, 68248282427325, 144079707346575, 280576272201225, 505037289962205

Offset: 0

N. J. A. Sloane

Row 55 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..55 (full sequence)

Cf. A010926-A011001, A017765-A017770, A017772-A017816.

[Binomial(55,n): n in [0..55]]; // G. C. Greubel, Nov 13 2018

seq(binomial(55,n), n=0..55); # Nathaniel Johnston, Jun 24 2011

Binomial[55,Range[0,55]] (* Harvey P. Dale, Feb 26 2013 *)

vector(55, n, n--; binomial(55,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(55, n) for n in range(56)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^55.
E.g.f.: 1F1(-55; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017772 Binomial coefficients C(56,n).

Original entry on oeis.org

1, 56, 1540, 27720, 367290, 3819816, 32468436, 231917400, 1420494075, 7575968400, 35607051480, 148902215280, 558383307300, 1889912732400, 5804731963800, 16253249498640, 41648951840265, 97997533741800, 212327989773900, 424655979547800, 785613562163430

Offset: 0

N. J. A. Sloane

Row 56 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..56 (full sequence)

Cf. A010926-A011001, A017765-A017771, A017773-A017816.

[Binomial(56,n): n in [0..56]]; // G. C. Greubel, Nov 13 2018

seq(binomial(56,n), n=0..56); # Nathaniel Johnston, Jun 24 2011

Binomial[56,Range[0,20]] (* Harvey P. Dale, Sep 05 2013 *)

vector(56, n, n--; binomial(56,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(56, n) for n in range(57)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^56.
E.g.f.: 1F1(-56; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017773 Binomial coefficients C(57,n).

Original entry on oeis.org

1, 57, 1596, 29260, 395010, 4187106, 36288252, 264385836, 1652411475, 8996462475, 43183019880, 184509266760, 707285522580, 2448296039700, 7694644696200, 22057981462440, 57902201338905, 139646485582065, 310325523515700, 636983969321700

Offset: 0

N. J. A. Sloane

Row 57 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..57 (full sequence)

Cf. A010926-A011001, A017765-A017772, A017774-A017816.

[Binomial(57,n): n in [0..57]]; // G. C. Greubel, Nov 13 2018

seq(binomial(57,n), n=0..57); # Nathaniel Johnston, Jun 24 2011

Binomial[57, Range[0,57]] (* G. C. Greubel, Nov 13 2018 *)

vector(57, n, n--; binomial(57,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(57, n) for n in range(58)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^57.
E.g.f.: 1F1(-57; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017774 Binomial coefficients C(58,n).

Original entry on oeis.org

1, 58, 1653, 30856, 424270, 4582116, 40475358, 300674088, 1916797311, 10648873950, 52179482355, 227692286640, 891794789340, 3155581562280, 10142940735900, 29752626158640, 79960182801345, 197548686920970, 449972009097765, 947309492837400

Offset: 0

N. J. A. Sloane

Row 58 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..58 (full sequence)

Cf. A010926-A011001, A017765-A017773, A017775-A017816.

[Binomial(58,n): n in [0..58]]; // G. C. Greubel, Nov 13 2018

seq(binomial(58,n), n=0..58); # Nathaniel Johnston, Jun 24 2011

Binomial[58, Range[0,58]] (* or *) With[{nmax = 58}, CoefficientList[ Series[Hypergeometric1F1[-58, 1, -x], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Nov 13 2018 *)

vector(58, n, n--; binomial(58,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(58, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^58.
E.g.f.: 1F1(-58; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017775 Binomial coefficients C(59,n).

Original entry on oeis.org

1, 59, 1711, 32509, 455126, 5006386, 45057474, 341149446, 2217471399, 12565671261, 62828356305, 279871768995, 1119487075980, 4047376351620, 13298522298180, 39895566894540, 109712808959985, 277508869722315, 647520696018735, 1397281501935165

Offset: 0

N. J. A. Sloane

Row 59 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..59 (full sequence)

Cf. A010926-A011001, A017765-A017774, A017776-A017816.

[Binomial(59,n): n in [0..59]]; // G. C. Greubel, Nov 13 2018

seq(binomial(59,n), n=0..59); # Nathaniel Johnston, Jun 24 2011

Binomial[59,#]&/@Range[0,20]  (* Harvey P. Dale, Mar 06 2011 *)

vector(59, n, n--; binomial(59,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(59, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^59.
E.g.f.: 1F1(-59; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017776 Binomial coefficients C(60,n).

Original entry on oeis.org

1, 60, 1770, 34220, 487635, 5461512, 50063860, 386206920, 2558620845, 14783142660, 75394027566, 342700125300, 1399358844975, 5166863427600, 17345898649800, 53194089192720, 149608375854525, 387221678682300, 925029565741050, 2044802197953900

Offset: 0

N. J. A. Sloane

Row 60 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..60 (full sequence)

Cf. A010926-A011001, A017765-A017775, A017777-A017816.

[Binomial(60,n): n in [0..60]]; // G. C. Greubel, Nov 13 2018

seq(binomial(60,n), n=0..60); # Nathaniel Johnston, Jun 24 2011

Binomial[60, Range[0,60]] (* G. C. Greubel, Nov 13 2018 *)

vector(60, n, n--; binomial(60,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(60, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^60.
E.g.f.: 1F1(-60; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017777 Binomial coefficients C(61,n).

Original entry on oeis.org

1, 61, 1830, 35990, 521855, 5949147, 55525372, 436270780, 2944827765, 17341763505, 90177170226, 418094152866, 1742058970275, 6566222272575, 22512762077400, 70539987842520, 202802465047245, 536830054536825, 1312251244423350, 2969831763694950

Offset: 0

N. J. A. Sloane

Row 61 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..61 (full sequence)

Cf. A010926-A011001, A017765-A017776, A017778-A017816.

[Binomial(61,n): n in [0..61]]; // G. C. Greubel, Nov 13 2018

seq(binomial(61,n), n=0..61); # Nathaniel Johnston, Jun 24 2011

Binomial[61, Range[0,61]] (* G. C. Greubel, Nov 13 2018 *)

vector(61, n, n--; binomial(61,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(61, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^61.
E.g.f.: 1F1(-61; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

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A017816 Binomial coefficients C(100,n).

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A017768 Binomial coefficients C(52,n).

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A017770 Binomial coefficients C(54,n).

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A017771 Binomial coefficients C(55,n).

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A017772 Binomial coefficients C(56,n).

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A017773 Binomial coefficients C(57,n).

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