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A207539
Dodecanacci numbers (12th-order Fibonacci sequence): a(n) = a(n-1) +...+ a(n-12) with a(0)=...=a(11)=1.
3
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 23, 45, 89, 177, 353, 705, 1409, 2817, 5633, 11265, 22529, 45057, 90102, 180181, 360317, 720545, 1440913, 2881473, 5762241, 11523073, 23043329, 46081025, 92150785, 184279041, 368513025, 736935948, 1473691715
OFFSET
0,13
LINKS
Kai Wang, Identities for generalized enneanacci numbers, Generalized Fibonacci Sequences (2020).
FORMULA
G.f.: (1-x-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11 +10*x^12)/(1 -2*x +x^13).
MAPLE
f12:=proc(n) option remember: if n<=12 then 1: else add(f12(n-i), i=1..12): fi: end:
MATHEMATICA
LinearRecurrence[Table[1, {12}], Table[1, {12}], 100]
PROG
(PARI) x='x+O('x^50); Vec((1-x-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11 +10*x^12)/(1-2*x+x^13)) \\ G. C. Greubel, Jul 28 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Michael Burkhart, Feb 18 2012
STATUS
approved