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A174959 G.f.: x^3*(2*x-1)/[(1-x)*(1-x-x^2)*(1-2*x^2)]. 0
0, 0, 0, -1, 0, -2, 1, -2, 6, 3, 24, 26, 81, 106, 250, 355, 732, 1086, 2073, 3158, 5742, 8899, 15664, 24562, 42273, 66834, 113202, 180035, 301428, 481462, 799273 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

REFERENCES

Burton, David M., Elementary number theory, McGraw Hill, N.Y., 2002, p. 286

LINKS

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (2,2,-5,0,2).

FORMULA

a(n) = Sum[-2^(j) + Binomial[n - j - 1, j], {j, 0, Floor[(n - 1)/2]}].

a(n) = Fibonacci(n+1) - 2^ceil(n/2) - 1.

a(n) = A000045(n+1) - A016116(n+1) - 1.

MATHEMATICA

Table[Sum[-2^(j) +

    Binomial[n - j - 1, j], {j, 0, Floor[(n - 1)/2]}], {n, 0, 30}]

CROSSREFS

Sequence in context: A269223 A121341 A241737 * A126093 A065279 A151962

Adjacent sequences:  A174956 A174957 A174958 * A174960 A174961 A174962

KEYWORD

sign,easy

AUTHOR

Roger L. Bagula, Dec 02 2010

STATUS

approved

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Last modified February 19 20:17 EST 2019. Contains 320328 sequences. (Running on oeis4.)