A047391 - OEIS

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A047391

Numbers that are congruent to {1, 3, 5} mod 7.

1, 3, 5, 8, 10, 12, 15, 17, 19, 22, 24, 26, 29, 31, 33, 36, 38, 40, 43, 45, 47, 50, 52, 54, 57, 59, 61, 64, 66, 68, 71, 73, 75, 78, 80, 82, 85, 87, 89, 92, 94, 96, 99, 101, 103, 106, 108, 110, 113, 115, 117, 120, 122 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,-1).`
	FORMULA	`Contribution by Bruno Berselli, Mar 25 2011: (Start)` `G.f.: x(1+2x+2x^2+2x^3)/((1-x)^2(1+x+x^2)).` `a(n) = 7floor((n-1)/3)+2(n-1 mod 3)+1.` `a(n) = (1/3)(7*n-5-A049347(n)). (End)`
	PROG	`(MAGMA) [ n: n in [1..122] \| n mod 7 in [1, 3, 5] ]; // Bruno Berselli, Mar 25 2011`
	CROSSREFS	`Sequence in context: A184584 A191160 A189929 * A184655 A090846 A195170` `Adjacent sequences: A047388 A047389 A047390 * A047392 A047393 A047394`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.