A117751 - OEIS

%I #6 Feb 28 2020 22:52:01

%S 5,7,42,11,15,231,22,44583,30,1002,147273,7089500,42,451276,30167357,

%T 56,118114304,77,44108109,431149389,101,9289091,1482074143,135,

%U 23338469,4835271870,176,37338,15065878135,231,63261,133230930,3397584011986773,297

%N 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.

%D Robert Kanigel, The Man Who Knew Infinity, Washington Square Press, New York, 1991, page 302.

%e The table starts in row n=1 as

%e 5;

%e 7, 42;

%e 11;

%e 15, 231;

%e 22, 44583;

%e 30, 1002, 147273, 7089500;

%e 42, 451276, 30167357;

%e 56, 118114304;

%e 77, 44108109, 431149389;

%e 101, 9289091, 1482074143;

%t 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]

%Y Cf. A000041.

%K nonn,tabf

%O 1,1

%A _Roger L. Bagula_, Apr 14 2006

%E Keyword:tabf, offset, more values and detailed definition from Assoc. Eds. of the OEIS, Jun 15 2010