id:A104878 - OEIS Search Results

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A sum-of-powers number triangle.

+0
4

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 15, 13, 5, 1, 1, 6, 31, 40, 21, 6, 1, 1, 7, 63, 121, 85, 31, 7, 1, 1, 8, 127, 364, 341, 156, 43, 8, 1, 1, 9, 255, 1093, 1365, 781, 259, 57, 9, 1, 1, 10, 511, 3280, 5461, 3906, 1555, 400, 73, 10, 1, 1, 11, 1023, 9841, 21845 (list; table; graph; listen)

	OFFSET	`0,5`
	COMMENT	`Columns are partial sums of the columns of A004248. Row sums are A104879. Diagonal sums are A104880.`
	FORMULA	`Number triangle T(n, k)=if(k=1, n, if(k<=n, (k^(n-k+1)-1)/(k-1), 0)); Number triangle whose columns have g.f. 1/((1-x)(1-x)^k).`
	CROSSREFS	`Sequence in context: A028657 A053534 A104881 this_sequence A135597 A073134 A026692` `Adjacent sequences: A104875 A104876 A104877 this_sequence A104879 A104880 A104881`
	KEYWORD	`easy,nonn,tabl`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 28 2005`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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