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Search: id:A081582
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| 1, 1, 1, 1, 9, 1, 1, 17, 17, 1, 1, 25, 97, 25, 1, 1, 33, 241, 241, 33, 1, 1, 41, 449, 1161, 449, 41, 1, 1, 49, 721, 3297, 3297, 721, 49, 1, 1, 57, 1057, 7161, 14721, 7161, 1057, 57, 1, 1, 65, 1457, 13265, 44961, 44961, 13265, 1457, 65, 1, 1, 73, 1921, 22121, 108353
(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 A017077, A081593, A081594. 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)+7T(n-1, k-1)+T(n-1, k). Rows are the expansions of (1+7x)^k/(1-x)^(k+1).
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EXAMPLE
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Rows begin
1 1 1 1 1 ....
1 9 17 25 33 ....
1 17 97 241 449 ...
1 25 241 1161 3297 ...
1 33 449 3297 14721 ...
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CROSSREFS
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Cf. A081577, A081578, A081579, A081580, A081581.
Adjacent sequences: A081579 A081580 A081581 this_sequence A081583 A081584 A081585
Sequence in context: A092578 A128060 A143681 this_sequence A014761 A073702 A098436
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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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