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 A173621 Triangle of Generalized Runyon numbers R_{n,k}^(4) read by rows. 0
 1, 1, 4, 1, 12, 22, 1, 24, 120, 140, 1, 40, 380, 1140, 969, 1, 60, 920, 5060, 10626, 7084, 1, 84, 1890, 16380, 61425, 98280, 53820, 1, 112, 3472, 43400, 251720, 704816, 906192, 420732, 1, 144, 5880, 99960, 824670, 3518592, 7791168, 8347680, 3362260 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The Runyon numbers R_{n,k}^(1) are A001263, R_{n,k}^(2) are A108767. Row sums are in A002294. REFERENCES Chunwei Song, The Generalized Schroeder Theory, El. J. Combin. 12 (2005) #R53 LINKS FORMULA T(n,k) = R(n,k,4) with R(n,k,m)= binomial(n,k)*binomial(m*n,k-1)/n, 1<=k<=n. T(n,n) = A002293(n). T(n,n-1) = A004332(n). T(n,2) = A046092(n-1). EXAMPLE The triangle starts in row n=1 as 1; 1, 4; 1, 12, 22; 1, 24, 120, 140; 1, 40, 380, 1140, 969; 1, 60, 920, 5060, 10626, 7084; 1, 84, 1890, 16380, 61425, 98280, 53820; 1, 112, 3472, 43400, 251720, 704816, 906192, 420732; CROSSREFS Sequence in context: A117413 A322970 A157384 * A274087 A105197 A157398 Adjacent sequences:  A173618 A173619 A173620 * A173622 A173623 A173624 KEYWORD easy,nonn,tabl AUTHOR R. J. Mathar, Nov 08 2010 STATUS approved

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Last modified May 22 15:13 EDT 2019. Contains 323480 sequences. (Running on oeis4.)