The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A363427 G.f. satisfies A(x) = exp( Sum_{k>=1} (-1)^(k+1) * A(4*x^k) * x^k/k ). 4
 1, 1, 4, 68, 4422, 1136646, 1165077220, 4773325045092, 78210934437541505, 5125710024629047469249, 1343679254641311248179226112, 1408951161809404147369817577873792, 5909570902737024213107077083032728540592 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..58 FORMULA A(x) = Sum_{k>=0} a(k) * x^k = Product_{k>=0} (1+x^(k+1))^(4^k * a(k)). a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} ( Sum_{d|k} (-1)^(k/d+1) * d * 4^(d-1) * a(d-1) ) * a(n-k). PROG (PARI) seq(n) = my(A=1); for(i=1, n, A=exp(sum(k=1, i, (-1)^(k+1)*subst(A, x, 4*x^k)*x^k/k)+x*O(x^n))); Vec(A); CROSSREFS Cf. A004111, A363425, A363426. Cf. A363339, A363424. Sequence in context: A009791 A012484 A174809 * A125587 A134794 A248027 Adjacent sequences: A363424 A363425 A363426 * A363428 A363429 A363430 KEYWORD nonn AUTHOR Seiichi Manyama, Jun 01 2023 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 9 07:37 EST 2023. Contains 367689 sequences. (Running on oeis4.)