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Search: id:A090466
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| A090466 |
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Regular figurative or polygonal numbers of order greater than 2. |
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+0
2
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| 6, 9, 10, 12, 15, 16, 18, 21, 22, 24, 25, 27, 28, 30, 33, 34, 35, 36, 39, 40, 42, 45, 46, 48, 49, 51, 52, 54, 55, 57, 58, 60, 63, 64, 65, 66, 69, 70, 72, 75, 76, 78, 81, 82, 84, 85, 87, 88, 90, 91, 92, 93, 94, 95, 96, 99, 100, 102, 105, 106, 108, 111, 112, 114, 115, 117, 118
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The sorted k-gonal numbers of order greater than 2. If you were to include the either the rank 2 or the 2-gonal numbers, then no number would be excluded. See A090467.
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REFERENCES
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Albert H. Beiler, Recreations In The Theory Of Numbers, The Queen Of Mathematics Entertains, Dover, NY, 1964, pps. 185-199.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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The n-th k-gonal number is 1 +k*n(n-1)/2 - (n-1)^2.
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MATHEMATICA
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Take[ Union[ Flatten[ Table[1 + k*n(n - 1)/2 - (n - 1)^2, {n, 3, 100}, {k, 3, 10}]]], 60]
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CROSSREFS
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Cf. A090467, A000217, A000290, A000326, A000384, A000566, A000567.
Cf. A001106, A001107, A051682, A051624, A051865 through A051876.
Sequence in context: A129492 A053869 A085275 this_sequence A090428 A039725 A125494
Adjacent sequences: A090463 A090464 A090465 this_sequence A090467 A090468 A090469
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KEYWORD
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easy,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 01 2003
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EXTENSIONS
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Verified by Don Reble (djr(AT)nk.ca), Mar 12 2006
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