A017781 -id:A017781

Search: a017781 -id:a017781

Displaying 1-2 of 2 results found.

page 1

A017780

Binomial coefficients C(64,n).

+10
3

1, 64, 2016, 41664, 635376, 7624512, 74974368, 621216192, 4426165368, 27540584512, 151473214816, 743595781824, 3284214703056, 13136858812224, 47855699958816, 159518999862720, 488526937079580, 1379370175283520, 3601688791018080

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

Row 64 of A007318.

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..64 (full sequence)

FORMULA

From G. C. Greubel, Nov 14 2018: (Start)

G.f.: (1+x)^64.

E.g.f.: 1F1(-64; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

MAPLE

seq(binomial(64, n), n=0..64); # Nathaniel Johnston, Jun 24 2011

MATHEMATICA

Binomial[64, Range[0, 64]] (* G. C. Greubel, Nov 14 2018 *)

PROG

(Sage) [binomial(64, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

(PARI) vector(64, n, n--; binomial(64, n)) \\ G. C. Greubel, Nov 14 2018

(Magma) [Binomial(64, n): n in [0..64]]; // G. C. Greubel, Nov 14 2018

CROSSREFS

Cf. A010926-A011001, A017765-A017779, A017781-A017816.

KEYWORD

nonn,fini,full,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

A017782

Binomial coefficients C(66,n).

+10
3

1, 66, 2145, 45760, 720720, 8936928, 90858768, 778789440, 5743572120, 37014131440, 210980549208, 1074082795968, 4922879481520, 20448884000160, 77413632286320, 268367258592576, 855420636763836, 2515943049305400, 6848956078664700

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

Row 66 of A007318.

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..66 (full sequence)

FORMULA

From G. C. Greubel, Nov 14 2018: (Start)

G.f.: (1+x)^66.

E.g.f.: 1F1(-66; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

MAPLE

seq(binomial(66, n), n=0..66); # Nathaniel Johnston, Jun 24 2011

MATHEMATICA

Binomial[66, Range[0, 66]] (* G. C. Greubel, Nov 14 2018 *)

PROG

(Sage) [binomial(66, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

(PARI) vector(66, n, n--; binomial(66, n)) \\ G. C. Greubel, Nov 14 2018

(Magma) [Binomial(66, n): n in [0..66]]; // G. C. Greubel, Nov 14 2018