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 A163551 13th order Fibonacci numbers: a(n) = a(n-1) +...+ a(n-13) with a(1)=...=a(13)=1. 2
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 25, 49, 97, 193, 385, 769, 1537, 3073, 6145, 12289, 24577, 49153, 98305, 196597, 393169, 786289, 1572481, 3144769, 6289153, 12577537, 25153537, 50304001, 100601857, 201191425, 402358273, 804667393 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,14 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,1,1,1,1,1,1,1,1,1,1,1,1). FORMULA a(n) = a(n-1)+a(n-2)+...+a(n-13) for n > 12, a(0)=a(1)=...=a(12)=1 G.f.: (-1)*(-1+x^2+2*x^3+3*x^4+4*x^5+5*x^6+6*x^7+7*x^8+8*x^9+9*x^10 +10*x^11 +11*x^12) / (1-x-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13). - Michael Burkhart, Feb 18 2012 MATHEMATICA With[{c=Table[1, {13}]}, LinearRecurrence[c, c, 40]] (* Harvey P. Dale, Aug 09 2013 *) PROG (PARI) x='x+O('x^50); Vec((1-x^2 -2*x^3-3*x^4 -4*x^5-5*x^6 -6*x^7-7*x^8 -8*x^9 -9*x^10 -10*x^11 -11*x^12) / (1-x-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13)) \\ G. C. Greubel, Jul 28 2017 CROSSREFS Cf. A000045 (Fibonacci numbers), A000213 (tribonacci), A000288 (tetranacci), A000322 (pentanacci), A000383 (hexanacci), A060455 (heptanacci), A123526 (octanacci), A127193 (nonanacci), A127194 (decanacci), A127624 (undecanacci), A207539 (dodecanacci). Sequence in context: A032697 A125724 A277714 * A005696 A147145 A283174 Adjacent sequences:  A163548 A163549 A163550 * A163552 A163553 A163554 KEYWORD nonn,easy AUTHOR Jainit Purohit (mjainit(AT)gmail.com), Jul 30 2009 EXTENSIONS Values adapted to the definition by R. J. Mathar, Aug 01 2009 STATUS approved

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Last modified March 30 19:28 EDT 2020. Contains 333127 sequences. (Running on oeis4.)