This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 18 14:05 EDT 2018. Contains 316321 sequences. (Running on oeis4.)