id:A077051 - OEIS Search Results

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Right summatory matrix, T, by antidiagonals.

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

	OFFSET	`1,1`
	COMMENT	`If S=(s(1),s(2),...) is a sequence written as a row vector, then S*T is the summatory sequence of S; i.e. its n-th term is Sum{s(k): k\|n}. T is the transpose of the left summatory matrix, A077049; T is the inverse of the right Moebius transformation matrix. See A077049 for further properties.`
	FORMULA	`T(n, k)=1 if n\|k else T(n, k)=0.`
	EXAMPLE	`Northwest corner:` `1 1 1 1 1 1` `0 1 0 1 0 1` `0 0 1 0 0 1` `0 0 0 1 0 0` `0 0 0 0 1 0` `0 0 0 0 0 1`
	CROSSREFS	`Cf. A077049, A077050, A077052.` `Sequence in context: A131483 A077052 A133566 this_sequence A115955 A106344 A106346` `Adjacent sequences: A077048 A077049 A077050 this_sequence A077052 A077053 A077054`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Oct 22 2002`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

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