

A123115


Values of Y satisfying the equation (XY)^42XY=0 with integer X>=Y>=0.


1



0, 2, 96, 3430, 117504, 3997418, 135828000, 4614348622, 156753156096, 5324999550290, 180893269972704, 6145046403443638, 208750685752224000, 7091378276778928442, 240898110769066766496, 8183444388129896917150
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OFFSET

0,2


COMMENTS

Values of X are given by c(n)*(d(n)+1) and listed in A123056.


LINKS

Table of n, a(n) for n=0..15.
Index entries for linear recurrences with constant coefficients, signature (40,206,40,1).


FORMULA

a(n) = c(n)*(d(n)1), where c(0)=0, c(1)=1, c(n)=6*c(n1)c(n2) and d(0)=1, d(1)=3, d(n)=6*d(n1)d(n2).
For n>=4, a(n) = 40*a(n1)  206*a(n2) + 40*a(n3)  a(n4).  Max Alekseyev, Nov 13 2009
G.f.: 2*x*(x^2+8*x+1)/((x^234*x+1)*(x^26*x+1)).  Colin Barker, Nov 04 2012


MATHEMATICA

LinearRecurrence[{40, 206, 40, 1}, {0, 2, 96, 3430}, 20] (* Harvey P. Dale, May 28 2015 *)


CROSSREFS

Cf. A123056.
Sequence in context: A282436 A069121 A157065 * A119696 A264542 A064069
Adjacent sequences: A123112 A123113 A123114 * A123116 A123117 A123118


KEYWORD

nonn,easy


AUTHOR

Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Sep 28 2006


EXTENSIONS

More terms from Max Alekseyev, Nov 13 2009


STATUS

approved



