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A304396 a(n) = A304394(n) / (n+1)^4. 1
1, 7, 941, 597571, 1077304324, 4250548204220, 31362344061243731, 389533784331698799757, 7553909607396308839307729, 216153962578005976317428630031, 8734715288242477329577387114158361, 481264969283514820342197141086713669943, 35132745658635258962977017094392007388046256, 3317919567828983194629673950155604531470409170896 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..13.

FORMULA

a(n) = (n+1)^(4*n)/(n+1)! - Sum_{k=1..n} (n+1)^(4*k-4)/k! * (n-k+1)^4 * a(n-k) for n>0 with a(0)=1.

PROG

(PARI) /* A304394 formula: [x^n] exp( n^4*x ) * (1 - x*A(x)) = 0 */

{A304394(n) = my(A=[1]); for(i=0, n, A=concat(A, 0); m=#A; A[m] = Vec( exp(x*m^4 +x^2*O(x^m)) * (1 - x*Ser(A)) )[m+1] ); A[n+1]}

for(n=0, 25, print1( A304394(n)/(n+1)^4, ", "))

CROSSREFS

Cf. A304394.

Sequence in context: A038808 A068728 A028990 * A151579 A024098 A172918

Adjacent sequences:  A304393 A304394 A304395 * A304397 A304398 A304399

KEYWORD

nonn

AUTHOR

Paul D. Hanna, May 12 2018

STATUS

approved

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Last modified May 25 07:56 EDT 2020. Contains 334585 sequences. (Running on oeis4.)