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A145698
Numbers x such that (x+37)^3-x^3 is a square.
0
111, 76516, 45155207, 26641506492, 15718443685951, 9273855133215476, 5471558810153455767, 3228210424135405697932, 1904638678681079208334991, 1123733592211412597511957636
OFFSET
1,1
FORMULA
a(n+2)=590*a(n+1)-a(n)+10868.
EXAMPLE
a(1)=111 because the first relation is (111+37)^3-111^3=1369^2.
MATHEMATICA
CoefficientList[Series[(37 (-3-295 x+4 x^2))/(-1+591 x-591 x^2+x^3), {x, 0, 10}], x] (* Harvey P. Dale, Feb 20 2011 *)
PROG
(PARI) Vec((111*x^2 - 65749*x + 76516)/(-x^3 + 591*x^2 - 591*x + 1)+O(x^99)) \\ Charles R Greathouse IV, May 28 2014
CROSSREFS
Sequence in context: A015262 A201430 A262641 * A362920 A244845 A152775
KEYWORD
nonn,easy
AUTHOR
Richard Choulet, Oct 16 2008
STATUS
approved