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A145850 a(n)=A145818(2n-1) 1
1, 17, 65, 81, 257, 273, 321, 337, 1025 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Every positive odd integer m==3(mod 16) is a unique sum of the form a(s) + 2a(t), while other odd integers are not expressible in such form.

FORMULA

If f(x)=sum_{n>=1}x^a(n), abs(x)<1, then f(x)*f(x^2)=x^3/(1-x^16).

CROSSREFS

Cf. A145818 A145812 A145849

Sequence in context: A010005 A172076 A063522 * A125992 A054402 A086533

Adjacent sequences:  A145847 A145848 A145849 * A145851 A145852 A145853

KEYWORD

nonn

AUTHOR

Vladimir Shevelev (shevelev(AT)bgu.ac.il), Oct 21 2008

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Last modified February 16 09:56 EST 2012. Contains 205904 sequences.