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A024463
a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (odd natural numbers).
0
1, 3, 8, 12, 26, 34, 63, 77, 136, 160, 272, 312, 521, 587, 968, 1076, 1762, 1938, 3159, 3445, 5600, 6064, 9840, 10592, 17169, 18387, 29784, 31756, 51418, 54610, 88399, 93565, 151432, 159792, 258592, 272120, 440345, 462235, 747960, 783380, 1267586
OFFSET
1,2
FORMULA
G.f.:(1-5*x^5+3*x^4-3*x^3+x^2+x)/((x-1)^2*(x^4+x^2-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]
MATHEMATICA
LinearRecurrence[{2, 1, -4, 3, -2, -1, 4, -3, 2, -1}, {1, 3, 8, 12, 26, 34, 63, 77, 136, 160}, 50] (* Harvey P. Dale, Nov 01 2024 *)
CROSSREFS
Sequence in context: A123906 A065970 A326890 * A092954 A114803 A083171
KEYWORD
nonn,easy,changed
STATUS
approved