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!)
 A357919 a(n) = Sum_{k=0..floor(n/3)} Stirling1(n - 2*k,k). 2
 1, 0, 0, 1, -1, 2, -5, 21, -109, 671, -4772, 38591, -350036, 3520830, -38903271, 468490350, -6107642906, 85704534787, -1288021805215, 20641247413120, -351374756822383, 6332030169529731, -120427840368046909, 2410627702030000447, -50661193580285096086 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Table of n, a(n) for n=0..24. FORMULA G.f.: Sum_{k>=0} (-x)^k * Product_{j=0..k-1} (j - x^2). MAPLE A357919 := proc(n) add(stirling1(n-2*k, k), k=0..n/3) ; end proc: seq(A357919(n), n=0..70) ; # R. J. Mathar, Mar 13 2023 PROG (PARI) a(n) = sum(k=0, n\3, stirling(n-2*k, k, 1)); (PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=0, N, (-x)^k*prod(j=0, k-1, j-x^2))) CROSSREFS Cf. A357901, A357920. Sequence in context: A347497 A130471 A002628 * A020129 A129582 A152576 Adjacent sequences: A357916 A357917 A357918 * A357920 A357921 A357922 KEYWORD sign AUTHOR Seiichi Manyama, Oct 20 2022 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 5 23:11 EST 2023. Contains 367594 sequences. (Running on oeis4.)