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A093835
n*Jacobsthal(n).
1
0, 1, 2, 9, 20, 55, 126, 301, 680, 1539, 3410, 7513, 16380, 35503, 76454, 163845, 349520, 742747, 1572858, 3320497, 6990500, 14680071, 30758222, 64312669, 134217720, 279620275, 581610146, 1207959561, 2505397580, 5189752159
OFFSET
0,3
COMMENTS
Convolution of Jacobsthal numbers A001045 and modified Jacobsthal-Lucas numbers (in A014551, change the leading 2 to a 1).
FORMULA
G.f.: x(1+2x^2)/(1-x-2x^2)^2; a(n)=n2^n/3-n(-1)^n/3.
a(n) = n*A001045(n). - R. J. Mathar, May 07 2019
MATHEMATICA
LinearRecurrence[{2, 3, -4, -4}, {0, 1, 2, 9}, 30] (* Harvey P. Dale, Jun 17 2017 *)
CROSSREFS
Cf. A023607.
Sequence in context: A248435 A272211 A259035 * A264294 A280295 A041007
KEYWORD
nonn,easy
AUTHOR
Paul Barry, Apr 20 2004
STATUS
approved