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A030055 a(n) = binomial(2*n+1, n-5). 5
1, 13, 105, 680, 3876, 20349, 100947, 480700, 2220075, 10015005, 44352165, 193536720, 834451800, 3562467300, 15084504396, 63432274896, 265182149218, 1103068603890, 4568648125690, 18851684897584 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 5..1000

Milan Janjic, Two Enumerative Functions

FORMULA

G.f.: x^5*2048/((1-sqrt(1-4*x))^11*sqrt(1-4*x))+(-1/x^6+9/x^5-28/x^4+35/x^3-15/x^2+1/x). - Vladimir Kruchinin, Aug 11 2015

MAPLE

seq(binomial(2*n+1, n-5), n=5..25); # Muniru A Asiru, Oct 24 2018

MATHEMATICA

Table[Binomial[2*n+1, n-5], {n, 5, 30}] (* G. C. Greubel, Oct 23 2018 *)

PROG

(PARI) vector(30, n, m=n+4; binomial(2*m+1, m-5)) \\ Michel Marcus, Aug 11 2015

(MAGMA) [Binomial(2*n+1, n-5): n in [5..30]]; // G. C. Greubel, Oct 23 2018

(GAP) List([5..25], n->Binomial(2*n+1, n-5)); # Muniru A Asiru, Oct 24 2018

CROSSREFS

Diagonal 12 of triangle A100257.

Sequence in context: A317427 A320204 A080422 * A155636 A055902 A295249

Adjacent sequences:  A030052 A030053 A030054 * A030056 A030057 A030058

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 19 21:28 EDT 2019. Contains 328244 sequences. (Running on oeis4.)