A353640 Čiurlionis sequence A342002, reduced modulo 4.

0, 1, 1, 1, 2, 3, 1, 3, 0, 3, 1, 1, 2, 1, 3, 1, 0, 3, 3, 3, 2, 3, 3, 1, 0, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 3, 0, 3, 3, 3, 2, 1, 3, 1, 0, 1, 3, 3, 2, 3, 1, 3, 0, 1, 1, 1, 2, 1, 1, 3, 2, 3, 1, 3, 0, 1, 1, 1, 2, 1, 1, 3, 0, 3, 3, 3, 2, 1, 3, 1, 0, 1, 3, 3, 2, 3, 1, 3, 0, 1, 3, 1, 0, 1, 3, 3, 2, 3, 1, 3, 0, 1, 1, 1, 2, 1

Offset

0,5

Links

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for sequences related to primorial base

Formula

a(n) = A010873(A342002(n)).

a(n) = A010873(A328572(n)*A353630(n)). [Note that all terms of A328572 are odd]

Prog

(PARI) A353640(n) = { my(s=0, m=1, p=2, e); while(n, e = (n%p); m *= p^(e>0); s += (e/p); n = n\p; p = nextprime(1+p)); ((s*m)%4); };

Crossrefs

Cf. A010873, A166486 (parity of terms), A342002, A353630.

Cf. A353641, A353642 (bisections).

Sequence in context: A361157 A082503 A190549 * A064442 A287566 A134411

Adjacent sequences: A353637 A353638 A353639 * A353641 A353642 A353643

Keyword

nonn,base

Author

Antti Karttunen, May 01 2022

Status

approved