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A046174 Indices of pentagonal numbers which are also triangular. +0
3
0, 1, 12, 165, 2296, 31977, 445380, 6203341, 86401392, 1203416145, 16761424636, 233456528757, 3251629977960, 45289363162681, 630799454299572, 8785902997031325, 122371842504138976, 1704419892060914337 (list; graph; listen)
OFFSET

0,3

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

a(n) = 14*a(n-1) - a(n-2) - 2; g.f.: (1-3*x)/((1-x)*(1-14*x+x^2)) - Warut Roonguthai (warut822(AT)yahoo.com) Jan 05 2001

a(n+1)=7*a(n)-1+2*(12*a(n)^2-4*a(n)+1)^0.5 - Richard Choulet (richardchoulet(AT)yahoo.fr), Sep 19 2007

CROSSREFS

Cf. A014979, A046175.

Cf. A046175 A014979 A001834.

Sequence in context: A138455 A024221 A093152 this_sequence A055760 A056591 A099745

Adjacent sequences: A046171 A046172 A046173 this_sequence A046175 A046176 A046177

KEYWORD

nonn,easy

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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