A184878 Third column (negated) of triangle in A182971.

0, 0, 0, 0, 225, 2304, 12916, 52480, 172810, 489280, 1234948, 2846272, 6092515, 12263680, 23434840, 42828032, 75296468, 127959680, 211022360, 338814080, 531091781, 814651904, 1225304300, 1810265600, 2631035550, 3766825920, 5318617980, 7413931200, 10212392775, 13912204800, 18757613424, 25047492096, 33145159080, 43489557760, 56607936880, 73130176768, 93804916777, 119517648640, 151310950180, 190407043840

Offset

1,5

Comments

These are scaled central factorial numbers.

Links

Table of n, a(n) for n=1..40.

Formula

Conjectures: G.f.: x^5*(225+54*x+x^2)/(x-1)^10 . a(n) = n *(n-1) *(n-2) *(n-3) *(n-4) *(n+2) *(n+1) *(35*n^2+182*n+240) /45360. - R. J. Mathar, May 18 2026

Crossrefs

Cf. A182971.

Sequence in context: A203829 A105925 A014771 * A134741 A379121 A110204

Adjacent sequences: A184875 A184876 A184877 * A184879 A184880 A184881

Keyword

nonn

Author

N. J. A. Sloane, Feb 01 2011

Status

approved