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A107736
Pentagonal numbers that are half other pentagonal numbers.
3
35, 46651605, 62126595542551, 82734857056306152425, 110179167429819564875005515, 146727139774551997160896788291901, 195398586217617559179696685958485684415, 260215032846061623065656040447357907946787025, 346532002251364709713039450689133092337489050568051
OFFSET
1,1
FORMULA
a(n) = (A001653(4*n-1)^2-1)/24.
G.f.: -x*(x^2+41580*x+35) / ((x-1)*(x^2-1331714*x+1)). - Colin Barker, Jun 18 2015
EXAMPLE
a(2) = (A001653(7)^2-1)/24 = (33461^2-1)/24 = 46651605.
MATHEMATICA
LinearRecurrence[{1331715, -1331715, 1}, {35, 46651605, 62126595542551}, 20] (* Harvey P. Dale, Aug 04 2020 *)
PROG
(PARI) Vec(-x*(x^2+41580*x+35)/((x-1)*(x^2-1331714*x+1)) + O(x^20)) \\ Colin Barker, Jun 18 2015
CROSSREFS
Sequence in context: A110596 A286178 A126029 * A261121 A139474 A240129
KEYWORD
nonn,easy
AUTHOR
Franz Vrabec, Aug 26 2006
STATUS
approved