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A084089 a(n) = 1 mod 3 and exponent of highest power of 2 dividing a(n) is even. +0
3
1, 4, 7, 13, 16, 19, 25, 28, 31, 37, 43, 49, 52, 55, 61, 64, 67, 73, 76, 79, 85, 91, 97, 100, 103, 109, 112, 115, 121, 124, 127, 133, 139, 145, 148, 151, 157, 163, 169, 172, 175, 181, 187, 193, 196, 199, 205, 208, 211, 217, 220, 223, 229, 235 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) is both in A016777 and A003159.

It seems that lim(n->inf, a(n)/n) = 9/2.

Positions of +1 in expansion of sum(k>=0, x^2^k/(1+x^2^k+x^2^(k+1))) (A084091).

PROGRAM

(PARI) for(n=0, 300, if(valuation(n, 2)%2==0&&n%3==1, print1(n", ")))

CROSSREFS

Sequence in context: A031142 A060751 A004783 this_sequence A137827 A045090 A031149

Adjacent sequences: A084086 A084087 A084088 this_sequence A084090 A084091 A084092

KEYWORD

nonn

AUTHOR

Ralf Stephan (ralf(AT)ark.in-berlin.de), May 11 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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