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 A117750 Irregular triangle which contains in row n those partition numbers A000041(n*(2m+1) + m + 2) which are congruent to 0 mod (2m+1) for 1 <= m <= n. 1
 30, 135, 490, 2436, 1575, 10143, 4565, 37338, 1300156, 792, 12310, 124754, 1575, 31185, 386155, 26543660, 75175, 1121505, 4835271870, 5604, 173525, 3087735, 10143, 386155, 8118264, 1327710076, 4328363658647, 25025873760111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 REFERENCES Robert Kanigel, The Man Who Knew Infinity, Washington Square Press, New York, 1991, page 302. LINKS Table of n, a(n) for n=2..29. EXAMPLE The first line contains A000041(9)=30 from n=2 and m=1 and A000041(14)=135 from n=2 and m=2. The fifth line contains A000041(29)=4565 from n=5 and m=2, A000041(40)=37338 from n=5 and m=3, and A000041(62)=1300156 from n=m=5. The array starts 30, 135; 490, 2436; 1575, 10143; 4565, 37338, 1300156; 792, 12310, 124754; 1575, 31185, 386155, 26543660; 75175, 1121505, 4835271870; 5604, 173525, 3087735; 10143, 386155, 8118264, 1327710076, 4328363658647, 25025873760111; MATHEMATICA b = Table[Flatten[Table[If[Mod[a[[( 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] CROSSREFS Cf. A000041, A117749. Sequence in context: A291582 A079588 A100147 * A348828 A158462 A064495 Adjacent sequences: A117747 A117748 A117749 * A117751 A117752 A117753 KEYWORD nonn,tabf AUTHOR Roger L. Bagula, Apr 14 2006 EXTENSIONS Comments and definition rephrased, offset corrected - the Assoc. Eds. of the OEIS, Jun 27 2010 STATUS approved

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Last modified June 3 04:09 EDT 2023. Contains 363103 sequences. (Running on oeis4.)