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A227935 G.f.: Sum_{n>=0} x^n / (1-x)^(n^5). 3
1, 1, 2, 34, 773, 36656, 3001377, 333647780, 58561139773, 13838291852092, 4280413527001849, 1779704699369214238, 931039792575220097699, 604786686422678514970170, 489307443863919174036440087, 478922652139578822529676247092, 560120417434857039499787289137249 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) = Sum_{k=0..n} binomial(k^5 + n-k-1, n-k).

EXAMPLE

G.f.: A(x) = 1 + x + 2*x^2 + 34*x^3 + 773*x^4 + 36656*x^5 + 3001377*x^6 +...

where

A(x) = 1 + x/(1-x) + x^2/(1-x)^32 + x^3/(1-x)^243 + x^4/(1-x)^1024 + x^5/(1-x)^3125 + x^6/(1-x)^7776 +...

PROG

(PARI) {a(n)=polcoeff(sum(k=0, n, x^k/(1-x+x*O(x^n))^(k^5)), n)}

for(n=0, 20, print1(a(n), ", "))

(PARI) {a(n)=sum(k=0, n, binomial(k^5+n-k-1, n-k))}

for(n=0, 20, print1(a(n), ", "))

CROSSREFS

Cf. A178325, A230050, A227934.

Sequence in context: A173208 A344107 A224882 * A264669 A187546 A195005

Adjacent sequences:  A227932 A227933 A227934 * A227936 A227937 A227938

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 06 2013

STATUS

approved

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Last modified October 27 13:43 EDT 2021. Contains 348276 sequences. (Running on oeis4.)