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 A069138 Triangle formed by multiplying Stirling numbers of 2nd kind S2(n,m) (A008277) by m+1. 0
 2, 2, 3, 2, 9, 4, 2, 21, 24, 5, 2, 45, 100, 50, 6, 2, 93, 360, 325, 90, 7, 2, 189, 1204, 1750, 840, 147, 8, 2, 381, 3864, 8505, 6300, 1862, 224, 9, 2, 765, 12100, 38850, 41706, 18522, 3696, 324, 10, 2, 1533, 37320, 170525, 255150, 159789, 47040, 6750, 450, 11 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The number of rhyme schemes for a stanza of n+1 lines with m rhyming syllables in its first n lines. REFERENCES Suggested by R. K. Guy, Mar 11, 2002. LINKS Stephen Pollard, C.S. Peirce and the Bell Numbers, Mathematics Magazine, Vol. 76 (2003), pp. 99-106. FORMULA T(n, m) = (m+1)*S2(n, m). EXAMPLE Triangle begins: 2; 2,  3; 2,  9,   4; 2, 21,  24,  5; 2, 45, 100, 50, 6; ... PROG (PARI) T(n, m) = stirling(n, m, 2)*(m+1); tabl(nn) = for(n=1, nn, for (k=1, n, print1(T(n, m), ", ")); print); \\ Michel Marcus, Sep 21 2017 CROSSREFS Row sums give Bell numbers A000110. Sequence in context: A177047 A016001 A016012 * A179592 A058671 A016002 Adjacent sequences:  A069135 A069136 A069137 * A069139 A069140 A069141 KEYWORD nonn,tabl,easy AUTHOR N. J. A. Sloane, Apr 10 2002 EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org), Jul 01 2002 STATUS approved

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Last modified February 21 19:40 EST 2019. Contains 320376 sequences. (Running on oeis4.)