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A017223
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a(n) = (9*n+5)^3.
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3
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125, 2744, 12167, 32768, 68921, 125000, 205379, 314432, 456533, 636056, 857375, 1124864, 1442897, 1815848, 2248091, 2744000, 3307949, 3944312, 4657463, 5451776, 6331625, 7301384, 8365427
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3.
G.f.: (125 + 2244*x + 1941*x^2 + 64*x^3)/(1 - x)^4. (End)
E.g.f.: (125 + 2619*x + 3402*x^2 + 729*x^3)*exp(x). - G. C. Greubel, Jan 06 2023
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MATHEMATICA
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PROG
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(SageMath) [(9*n+5)^3 for n in range(51)] # G. C. Greubel, Jan 06 2023
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CROSSREFS
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Sequences of the form (9*n+5)^k: A017221 (k=1), A017222 (k=2), this sequence (k=3), A017224 (k=4), A017225 (k=5), A017226 (k=6), A017227 (k=7), A017228 (k=8), A017229 (k=9), A017230 (k=10), A017231 (k=11).
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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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