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A014801
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Squares of odd hexagonal pyramidal numbers.
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1
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1, 49, 9025, 25921, 275625, 511225, 2393209, 3705625, 11675889, 16378209, 40844881, 53831569, 115025625, 145226601, 278055625, 340218025, 600103009, 716900625, 1186595809, 1391066209, 2188461961, 2526771289, 3813680025
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,6,-6,-15,15,20,-20,-15,15,6,-6,-1,1).
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FORMULA
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G.f.: -(9*x^12 +160*x^11 +15402*x^10 +24624*x^9 +244415*x^8 +151296*x^7 +518380*x^6 +134944*x^5 +195863*x^4 +16608*x^3 +8970*x^2 +48*x +1)/((x -1)^7*(x +1)^6). [Colin Barker, Nov 16 2012]
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MATHEMATICA
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CoefficientList[Series[- (9 x^12 + 160 x^11 + 15402 x^10 + 24624 x^9 + 244415 x^8 + 151296 x^7 + 518380 x^6 + 134944 x^5 + 195863 x^4 + 16608 x^3 + 8970 x^2 + 48 x + 1)/((x - 1)^7 (x + 1)^6), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 15 2013 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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