A110437 A weighted sum of Jacobi function values.

1, 11, 111, 1101, 11111, 111111, 1101001, 11111111, 111111111, 1101100101, 11111111111, 111101111011, 1101101101101, 11111111111111, 111111111111111, 1101101101001101, 11110101101110011, 111111111111111111

Offset

1,2

Comments

Can be regarded as base 2 version of A110436. It would appear that a(n) has all 1's whenever 2n+1 is prime.

Links

Table of n, a(n) for n=1..18.

Formula

a(n) = Sum_{k=0..n} abs(Jacobi(n-k, 2k+1))*10^k.

Crossrefs

Cf. A005097, A110436.

Sequence in context: A283703 A284399 A284540 * A266624 A266790 A266592

Adjacent sequences: A110434 A110435 A110436 * A110438 A110439 A110440

Keyword

easy,nonn

Author

Paul Barry, Jul 20 2005

Status

approved