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A110436 A weighted sum of Jacobi function values. 3
1, 3, 7, 13, 31, 63, 105, 255, 511, 869, 2047, 3963, 7021, 16383, 32767, 56141, 125811, 262143, 449325, 1048575, 2097151, 3459945, 8388607, 16645111, 28760685, 67108863, 129822555, 230087021, 536870911, 1073741823, 1823791973 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

It would appear that a(n)=2^m-1 if 2n+1 is prime.

FORMULA

a(n)=sum{k=0..n, abs(Jacobi(n-k, 2k+1))2^k}

CROSSREFS

Cf. A005097, A110437.

Sequence in context: A006978 A060424 A119962 * A126879 A155128 A176589

Adjacent sequences:  A110433 A110434 A110435 * A110437 A110438 A110439

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 20 2005

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Last modified February 14 06:09 EST 2012. Contains 205570 sequences.