A092083 A convolution triangle of numbers obtained from A034789.

1, 21, 1, 546, 42, 1, 15561, 1533, 63, 1, 466830, 54054, 2961, 84, 1, 14471730, 1885338, 124740, 4830, 105, 1, 458960580, 65542932, 4977882, 236880, 7140, 126, 1, 14801478705, 2277656901, 192582117, 10661301, 399735, 9891, 147, 1

Offset: 1

Author

Wolfdieter Lang, Mar 19 2004

Keywords

• nonn
• easy
• tabl

Comments

a(n,1) = A034789(n). a(n,m)=: s2(7; n,m), a member of a sequence of unsigned triangles including s2(2; n,m)=A007318(n-1,m-1) (Pascal's triangle). s2(3; n,m)= A035324(n,m), s2(4; n,m)= A035529(n,m), s2(5; n,m)= A048882(n,m), s2(6; n,m)= A049375.

Examples

			{1}; {21,1}; {546,42,1}; {15561,1533,63,1}; ...
		

Links

• W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
• W. Lang, First 10 rows.

Crossrefs

Cf. A092086 (row sums), A092087 (alternating row sums).

Formula

a(n, m) = 6*(6*(n-1)+m)*a(n-1, m)/n + m*a(n-1, m-1)/n, n >= m >= 1; a(n, m) := 0, n

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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