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A024857 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (Fibonacci numbers). 2
1, 2, 7, 11, 27, 44, 91, 147, 278, 450, 806, 1304, 2257, 3652, 6181, 10001, 16677, 26984, 44551, 72085, 118220, 191284, 312300, 505312, 822513, 1330854, 2161907, 3498039, 5674751, 9181940 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

Essentially the same as A023864 with different indexing.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 2..1000

Index entries for linear recurrences with constant coefficients, signature (1,3,-2,-1,-1,-3,2,1,1,1).

FORMULA

G.f.:(-1-x^5-2*x^2-x)/((x^2+x-1)*(x^4+x^2-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]

MATHEMATICA

CoefficientList[Series[( (-1-x^5-2x^2-x)/((x^2+x-1)(x^4+x^2-1)^2) ), {x, 0, 30}], x] (* or *) LinearRecurrence[{1, 3, -2, -1, -1, -3, 2, 1, 1, 1}, {1, 2, 7, 11, 27, 44, 91, 147, 278, 450}, 30] (* Harvey P. Dale, Dec 26 2016 *)

CROSSREFS

Sequence in context: A024479 A295138 A023864 * A024481 A024591 A073602

Adjacent sequences:  A024854 A024855 A024856 * A024858 A024859 A024860

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified February 19 20:48 EST 2018. Contains 299357 sequences. (Running on oeis4.)