A112564 - OEIS

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A112564

Square array, read by ascending antidiagonals, where each row is a generalized Flavius Josephus sieve (A000960).

1, 1, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 7, 6, 1, 1, 5, 13, 13, 10, 1, 1, 6, 21, 28, 19, 12, 1, 1, 7, 31, 61, 61, 27, 18, 1, 1, 8, 43, 96, 125, 88, 39, 22, 1, 1, 9, 57, 169, 241, 261, 133, 49, 30, 1, 1, 10, 73, 232, 505, 546, 421, 208, 63, 34, 1, 1, 11, 91, 361, 785, 1051, 1171, 605, 313 (list; table; graph; refs; listen; history; text; internal format)

	OFFSET	`0,5`
	LINKS	`Table of n, a(n) for n=0..74.` `Index entries for sequences related to the Josephus Problem`
	EXAMPLE	`Table begins:` `1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...` `1, 2, 4, 6, 10, 12, 18, 22, 30, 34, ...` `1, 3, 7, 13, 19, 27, 39, 49, 63, 79, ...` `1, 4, 13, 28, 61, 88, 133, 208, 313, 364, ...` `1, 5, 21, 61, 125, 261, 421, 605, 1101, 1681, ...` `1, 6, 31, 96, 241, 546, 1171, 1776, 2761, 5046, ...` `1, 7, 43, 169, 505, 1051, 2527, 5083, 7729, 11635, ...` `1, 8, 57, 232, 785, 1800, 5041, 11096, 22737, 34504, ...` `1, 9, 73, 361, 1153, 3961, 8281, 20161, 43633, 95049, ...` `1, 10, 91, 460, 1981, 5950, 13951, 38080, 91081, 186130, ...` `...`
	PROG	`(PARI) {T(n, k)=local(A=k, B=0, C=0); if(n==0\|\|k==0, 1, until(A==B, C=C+1; if(C%n==0, C=C+1); B=A; A=floor(A*(C+1)/C)); 1+A)}`
	CROSSREFS	`Cf. A002491 (row 1), A000960 (row 2), A112560 (row 3), A112561 (row 4), A112562 (row 5), A112563 (row 6), A112565 (main diagonal), A112568 (2nd diagonal), A112569 (antidiagonal sums).` `Sequence in context: A179743 A113749 A109225 * A244911 A258309 A197957` `Adjacent sequences: A112561 A112562 A112563 * A112565 A112566 A112567`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Paul D. Hanna, Oct 14 2005`
	STATUS	`approved`

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Last modified April 1 19:13 EDT 2023. Contains 361695 sequences. (Running on oeis4.)