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Left summing matrix, S.

+0
2

1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; listen)

	OFFSET	`1,1`
	COMMENT	`If v is a sequence written as a column vector, then Sv is the sequence of partial sums of v. The inverse of S is the left differencing matrix; the transpose of S is the right summing matrix.`
	LINKS	`C. Kimberling, Matrix Transformations of Integer Sequences, J. Integer Seqs., Vol. 6, 2003.`
	FORMULA	`S(n, k)=1 if 1<=k<=n, else S(n, k)=0.`
	EXAMPLE	`Northwest corner:` `1 0 0 0 0` `1 1 0 0 0` `1 1 1 0 0` `1 1 1 1 0` `1 1 1 1 1`
	CROSSREFS	`Cf. A077606.` `Sequence in context: A014555 A145575 A071035 this_sequence A014672 A015335 A014906` `Adjacent sequences: A077602 A077603 A077604 this_sequence A077606 A077607 A077608`
	KEYWORD	`easy,nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Nov 11 2002`

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.

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