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A053739 Partial sums of A014166. 9
1, 6, 22, 63, 155, 344, 709, 1383, 2587, 4685, 8273, 14323, 24416, 41119, 68595, 113590, 187030, 306605, 500950, 816410, 1327986, 2157046, 3499982, 5674578, 9195035, 14893364, 24115804, 39040633 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.

LINKS

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (6,-14,15,-5,-4,4,-1).

FORMULA

a(n) = sum_{i=0..floor(n/2)} C(n+5-i, n-2i); n >= 0.

a(n) = sum_{k=1..n} C(n-k+5,k+4), with n>=0. - Paolo P. Lava, Apr 16 2008

G.f.: 1/ ( (x^2 + x - 1)*(x-1)^5 ). - R. J. Mathar, May 22 2013

EXAMPLE

a(n) = a(n-1) + a(n-2) + C(n+4,4); n >= 0; a(-1)=0.

CROSSREFS

Cf. A014166 and A000045.

Right-hand column 10 of triangle A011794.

Cf. A228074.

Sequence in context: A257200 A258474 A120477 * A280481 A055797 A001925

Adjacent sequences:  A053736 A053737 A053738 * A053740 A053741 A053742

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Feb 13 2000

STATUS

approved

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Last modified December 13 22:07 EST 2018. Contains 318087 sequences. (Running on oeis4.)