

A124313


Pentanacci numbers: a(n) = a(n1) + a(n2) + a(n3) + a(n4) + a(n5), 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
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OFFSET

1,6


LINKS

Table of n, a(n) for n=1..36.
I. Flores, kGeneralized Fibonacci numbers, Fib. Quart., 5 (1967), 258266.
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



