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A117751
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Irregular triangle with those partition numbers A000041( n*(2*m-1)+m+2 ) in row n which are congruent to 0 (mod 2m-1), m=1..n.
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0
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5, 7, 42, 11, 15, 231, 22, 44583, 30, 1002, 147273, 7089500, 42, 451276, 30167357, 56, 118114304, 77, 44108109, 431149389, 101, 9289091, 1482074143, 135, 23338469, 4835271870, 176, 37338, 15065878135, 231, 63261, 133230930, 3397584011986773, 297
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Robert Kanigel, The Man Who Knew Infinity, Washington Square Press, New York,1991, page 302
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EXAMPLE
| The table starts in row n=1 as
5 ;
7, 42 ;
11;
15, 231 ;
22, 44583;
30, 1002, 147273, 7089500;
42, 451276, 30167357;
56, 118114304;
77, 44108109, 431149389;
101, 9289091, 1482074143;
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MATHEMATICA
| b = Table[Flatten[Table[If[Mod[PartitionsP[(2*n - 1)* m + n + 2], 2*n - 1] == 0, PartitionsP[(2*n - 1)*m + n + 2], {}], { n, 1, m}]], {m, 1, 10}] Flatten[b]
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CROSSREFS
| Cf. A000041.
Sequence in context: A123781 A120298 A178342 * A093526 A098512 A064082
Adjacent sequences: A117748 A117749 A117750 * A117752 A117753 A117754
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KEYWORD
| nonn,tabf
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Apr 14 2006
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EXTENSIONS
| Keyword:tabf, offset, more values and detailed definition from Assoc. Eds. of the OEIS, Jun 15 2010
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