A140420 Binomial transform of 0, 1, 1, 7, 7, 31, 31, ..., zero followed by duplicated A083420.

0, 1, 3, 13, 45, 151, 483, 1513, 4665, 14251, 43263, 130813, 394485, 1187551, 3570843, 10728913, 32219505, 96724051, 290303223, 871171813, 2614039725, 7843167751, 23531600403, 70598995513, 211805375145, 635432902651

Offset

0,3

Links

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (5, -5, -5, 6).

Formula

a(n+1)-3a(n) = A099430(n).

O.g.f.: (3x^2-2x+1)x/((2x-1)(1+x)(3x-1)(1-x)). - R. J. Mathar, Jul 10 2008

a(n)+a(n+1)=A126644(n). - R. J. Mathar, Jul 10 2008

Crossrefs

Sequence in context: A141088 A187915 A115128 * A308087 A232231 A121136

Adjacent sequences: A140417 A140418 A140419 * A140421 A140422 A140423

Keyword

nonn

Author

Paul Curtz, Jun 18 2008, corrected Jun 23 2008

Extensions

More terms from R. J. Mathar, Jul 10 2008

Status

approved