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A124313 Pentanacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5), starting 1,0,0,0,1. 2
1, 0, 0, 0, 1, 2, 3, 6, 12, 24, 47, 92, 181, 356, 700, 1376, 2705, 5318, 10455, 20554, 40408, 79440, 156175, 307032, 603609, 1186664, 2332920, 4586400, 9016625, 17726218, 34848827, 68510990, 134689060, 264791720, 520566815, 1023407412 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..36.

I. Flores, k-Generalized Fibonacci numbers, Fib. Quart., 5 (1967), 258-266.

Eric Weisstein's World of Mathematics, Pentanacci Number

Index entries for linear recurrences with constant coefficients, signature (1,1,1,1,1)

FORMULA

G.f.: x*(-1+x+x^2+x^3)/(-1+x+x^2+x^3+x^4+x^5). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 12 2009; checked and corrected by R. J. Mathar, Sep 16 2009

MATHEMATICA

f[n_] := MatrixPower[{{1, 1, 1, 1, 1}, {1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}}, n][[ 1, 4]]; Array[f, 50]

CROSSREFS

Cf. A001591, A124312, A124314.

Sequence in context: A294123 A321048 A038085 * A049890 A262236 A246878

Adjacent sequences:  A124310 A124311 A124312 * A124314 A124315 A124316

KEYWORD

nonn

AUTHOR

Artur Jasinski, Oct 25 2006

EXTENSIONS

Edited by Ralf Stephan, Oct 20 2013

STATUS

approved

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Last modified December 1 16:44 EST 2021. Contains 349430 sequences. (Running on oeis4.)