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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 A100147 A079588 * A158462 A064495 A267904

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 November 17 18:24 EST 2019. Contains 329241 sequences. (Running on oeis4.)