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A060883
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n^6 + n^3 + 1.
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20
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1, 3, 73, 757, 4161, 15751, 46873, 117993, 262657, 532171, 1001001, 1772893, 2987713, 4829007, 7532281, 11394001, 16781313, 24142483, 34018057, 47052741, 64008001, 85775383, 113390553, 148048057, 191116801, 244156251, 308933353
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OFFSET
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0,2
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COMMENTS
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Let Phi_k(x) be the k-th cyclotomic polynomial and form the sequence Phi_k(0), Phi_k(1), Phi_k(2), ... This gives A000027 (k=2), A002061 (k=3), A002522 (k=4), A053699 (k=5), A002061 (k=6), A053716 (k=7), A002523 (k=8), A060883 (k=9), A060884 (k=10), A060885 (k=11), A060886 (k=12), A060887 (k=13), A060888 (k=14), A060889 (k=15), A060890 (k=16), A060891 (k=18), A060892 (k=20), A060893 (k=24), A060894 (k=30), A060895 (k=32), A060896 (k=36).
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,1000
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FORMULA
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G.f.: (1-4*x+73*x^2+274*x^3+325*x^4+50*x^5+x^6)/(1-x)^7. [Colin Barker, Apr 21 2012]
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MAPLE
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with (combinat):seq(fibonacci(3, n^3)+n^3, n=0..30); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2008
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PROG
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(PARI) { for (n=0, 1000, write("b060883.txt", n, " ", n^6 + n^3 + 1); ) } [From Harry J. Smith, Jul 13 2009]
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CROSSREFS
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Sequence in context: A201038 A142078 A054689 * A162601 A173807 A093165
Adjacent sequences: A060880 A060881 A060882 * A060884 A060885 A060886
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, May 05 2001
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STATUS
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approved
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