A236380 Difference between value of n, when remultiplied "upward", from GF(2)[X] to N, and when remultiplied "downward", from N to GF(2)[X]: a(n) = A234742(n) - A234741(n).

0, 0, 0, 0, 0, 4, 0, 0, 0, 16, 8, 0, 0, 0, 0, 12, 0, 64, 32, 0, 16, 40, 0, 16, 0, 8, 0, 48, 0, 4, 24, 0, 0, 64, 128, 64, 64, 0, 0, 76, 32, 0, 80, 32, 0, 172, 32, 0, 0, 56, 16, 192, 0, 4, 96, 16, 0, 64, 8, 0, 48, 0, 0, 120, 0, 384, 128, 0, 256, 64, 128, 112, 128, 0, 0, 300, 0, 128, 152, 96, 64, 152, 0, 148, 160, 644, 64

Offset

0,6

Comments

All terms are divisible by 4.

a(n) = 0 iff both A236378(n) and A236379(n) are zero, or in other words, iff A234741(n)=n and A234742(n)=n, which means that A235032 gives all such n, that a(n) = 0.

Links

Antti Karttunen, Table of n, a(n) for n = 0..8191

Formula

a(n) = A234742(n) - A234741(n).

a(n) = A236378(n) + A236379(n).

Prog

(Scheme, two variants)
(define (A236380 n) (- (A234742 n) (A234741 n)))
(define (A236380v2 n) (+ (A236378 n) (A236379 n)))

Crossrefs

A235032 gives the positions of zeros, A235033 the positions of nonzeros.

Cf. also A234741, A234742, A236378, A236379, A236851, A061858.

Sequence in context: A162296 A364103 A169773 * A298825 A265831 A348732

Adjacent sequences: A236377 A236378 A236379 * A236381 A236382 A236383

Keyword

nonn

Author

Antti Karttunen, Jan 24 2014

Status

approved