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A083672
Binomial transform of 1,8,48,256,1280,6144,... (cf. A002697).
2
1, 1, 9, 25, 97, 321, 1097, 3641, 12033, 39361, 127945, 413337, 1328609, 4251521, 13551753, 43046713, 136314625, 430467201, 1355971721, 4261625369, 13366006881, 41841412801, 130754415049, 407953774905, 1270932914177
OFFSET
0,3
FORMULA
a(n) = (1/6)*((n + 3)*3^n + (3*n + 3)*(-1)^n).
O.g.f.: -(x - 1)^3/((-1 + 3*x)^2*(1 + x)^2). - R. J. Mathar, Apr 02 2008
E.g.f.: exp(x)*(cosh(2*x) + x*sinh(2*x)). - Stefano Spezia, Aug 04 2022
MATHEMATICA
LinearRecurrence[{4, 2, -12, -9}, {1, 1, 9, 25}, 30] (* Harvey P. Dale, Feb 07 2023 *)
CROSSREFS
Sequence in context: A147460 A147475 A146674 * A193644 A083100 A084058
KEYWORD
easy,nonn
AUTHOR
Paul Barry, May 02 2003
STATUS
approved