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A108118 Integers not divisible by 3 or 4. 1
1, 2, 5, 7, 10, 11, 13, 14, 17, 19, 22, 23, 25, 26, 29, 31, 34, 35, 37, 38, 41, 43, 46, 47, 49, 50, 53, 55, 58, 59, 61, 62, 65, 67, 70, 71, 73, 74, 77, 79, 82, 83, 85, 86, 89, 91, 94, 95, 97, 98, 101, 103, 106, 107, 109, 110, 113, 115, 118, 119, 121, 122, 125, 127, 130, 131 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Or, numbers congruent to 1, 2, 5, 7, 10 or 11 mod 12 (cf. A007310). Expand (x+x^2+x^5+x^7+x^10+x^11)/(1-x^12) (cf. A007310). All terms, except 35 and 70, are also in A099477.

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (2,-1,-1,2,-1).

FORMULA

G.f. x*(1+x^2)^2 / ( (1+x)*(x^2-x+1)*(x-1)^2 ). - R. J. Mathar, Oct 25 2011

MATHEMATICA

Select[ Range[132], !IntegerQ[ #/4] && !IntegerQ[ #/3] &] (* or *) Flatten[ NestList[12 + # &, {1, 2, 5, 7, 10, 11}, 10]]

CROSSREFS

Cf. A007310, A099477.

Sequence in context: A086422 A046880 A142879 * A099477 A067934 A112730

Adjacent sequences:  A108115 A108116 A108117 * A108119 A108120 A108121

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Jun 04 2005

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.