A017770 -id:A017770 - cp's OEIS frontend

A017771 Binomial coefficients C(55,n).

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)

A017769 Binomial coefficients C(53,n).

Original entry on oeis.org

1, 53, 1378, 23426, 292825, 2869685, 22957480, 154143080, 886322710, 4431613550, 19499099620, 76223753060, 266783135710, 841392966470, 2403979904200, 6250347750920, 14844575908435, 32308782859535, 64617565719070, 119032357903550, 202355008436035

Offset: 0

N. J. A. Sloane

Row 53 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..53 (full sequence)

Cf. A010926-A011001, A017765-A017768, A017770-A017816.

[Binomial(53,n): n in [0..53]]; // G. C. Greubel, Nov 13 2018

seq(binomial(53,n), n=0..53); # Nathaniel Johnston, Jun 24 2011

With[{k = 53}, Array[Binomial[k, #] &, k + 1, 0]] (* Michael De Vlieger, Jul 06 2018 *)
With[{nmax = 53}, CoefficientList[Series[Hypergeometric1F1[-53, 1, -x], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Nov 13 2018 *)

vector(53, n, n--; binomial(53,n)) \\ G. C. Greubel, Nov 13 2018

[binomial(53, n) for n in range(54)] # Zerinvary Lajos, May 23 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^53.
E.g.f.: 1F1(-53; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

cp's OEIS Frontend

A017771 Binomial coefficients C(55,n).

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