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Search: id:A133251
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| A133251 |
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Heptagonal numbers A000566 which are the sum of two other heptagonal numbers > 0. |
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+0
1
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| 697, 3186, 3744, 5221, 7209, 8323, 12496, 12852, 19228, 20566, 21022, 24850, 29539, 35224, 38254, 40768, 44023, 44689, 52345, 53802, 58293, 62173, 63760, 66178, 67815, 78057, 79834, 80730, 82537, 95746, 97713, 101707, 115240, 131905, 135373
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This is to A000566 as A136117 is to A000326.
The sequence contains 12852 and 19751431167846, which are the smallest heptagonal numbers equal to twice another heptagonal number. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2008
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LINKS
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Eric Weisstein's World of Mathematics, Heptagonal Number.
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FORMULA
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{x such that x in A000566 and x = A000566(i) + A000566(j) for i, j > 0, and where A000566(k) = k*(5*k-3)/2}.
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EXAMPLE
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Where hep(k) = k-th heptagonal number = A000566(k):
a(1) = 697 = hep(17) = 616 + 81 = hep(16) + hep(6).
a(2) = 3186 = hep(36) = 1782 + 1404 = hep(27) + hep(24).
a(3) = 3744 = hep(39) = 2673 + 1071 = hep(33) + hep(21).
a(4) = 5221 = hep(46) = 4347 + 874 = hep(42) + hep(19).
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CROSSREFS
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Cf. A000566, A136117.
Sequence in context: A137559 A118059 A028500 this_sequence A116338 A093270 A093235
Adjacent sequences: A133248 A133249 A133250 this_sequence A133252 A133253 A133254
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KEYWORD
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nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 19 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2008
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