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Search: id:A139593
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| 0, 3, 11, 22, 38, 57, 81, 108, 140, 175, 215, 258, 306, 357, 413, 472, 536, 603, 675, 750, 830, 913, 1001, 1092, 1188, 1287, 1391, 1498, 1610, 1725, 1845, 1968, 2096, 2227, 2363, 2502, 2646, 2793, 2945, 3100, 3260, 3423, 3591, 3762
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Sequence found by reading the line from 0, in the direction 0, 3,... and the same line from 0, in the direction 0, 11,..., in the square spiral whose vertices are the triangular numbers A000217.
Contribution from Markus J. Q. Roberts (Markus(AT)reality.com), Jul 12 2009: (Start)
A139593 appears (both numerically and via back of an envelope algebra, but not a publishable proof) to be the cumulative sum of A047470
(End)
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LINKS
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O. E. Pol, Determinacion geometrica de los numeros primos y perfectos.
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FORMULA
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Array read by rows: row n gives 8*n^2 + 3n, 8*(n+1)^2 - 5(n+1).
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EXAMPLE
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Array begins:
0, 3
11, 22
38, 57
81, 108
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CROSSREFS
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Cf. A000217, A046092, A139272, A139276, A077221, A139591, A139592, A139594, A139595, A139596, A139597, A139598.
Cf. A047470 [From Markus J. Q. Roberts (Markus(AT)reality.com), Jul 12 2009]
Sequence in context: A034185 A158653 A129215 this_sequence A121471 A087078 A141226
Adjacent sequences: A139590 A139591 A139592 this_sequence A139594 A139595 A139596
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KEYWORD
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easy,nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), May 03 2008
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EXTENSIONS
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Edited by Omar E. Pol (info(AT)polprimos.com), Jul 13 2009
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