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Search: id:A081581
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| 1, 1, 1, 1, 8, 1, 1, 15, 15, 1, 1, 22, 78, 22, 1, 1, 29, 190, 190, 29, 1, 1, 36, 351, 848, 351, 36, 1, 1, 43, 561, 2339, 2339, 561, 43, 1, 1, 50, 820, 5006, 9766, 5006, 820, 50, 1, 1, 57, 1128, 9192, 28806, 28806, 9192, 1128, 57, 1, 1, 64, 1485, 15240, 68034, 116208
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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One of a family of Pascal-like arrays. A007318 is equivalent to the (1,0,1)-array. A008288 is equivalent to the (1,1,1)-array. Rows include A016993, A081591, A081592. Coefficients of the row polynomials in the Newton basis are given by A013614.
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FORMULA
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Square array T(n, k) defined by T(n, 0)=T(0, k)=1, T(n, k)=T(n, k-1)+6T(n-1, k-1)+T(n-1, k). Rows are the expansions of (1+6x)^k/(1-x)^(k+1).
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EXAMPLE
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Rows start
1 1 1 1 1 ....
1 8 15 22 29 ....
1 15 78 190 351 ...
1 22 190 848 2339 ...
1 29 351 2339 9766 ...
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CROSSREFS
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Cf. A081577, A081578, A081579, A081580, A081582.
Sequence in context: A109571 A133823 A131067 this_sequence A051425 A051469 A022171
Adjacent sequences: A081578 A081579 A081580 this_sequence A081582 A081583 A081584
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 23 2003
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