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A092412 Fixed point of the morphism 0->11, 1->12, 2->13, 3->10, starting from a(1) = 1. 3
1, 2, 1, 3, 1, 2, 1, 0, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 0, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 0, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 0, 1, 2, 1, 3, 1, 2, 1, 3, 1, 2, 1, 3, 1, 2, 1, 0, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 0, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..1024

Index entries for sequences that are fixed points of mappings

FORMULA

a(n) = A001511(n) mod 4.

a(2n+1) = 1; a(2n) = a(n) + 1 mod 4.

a(n) == A035263(n) (mod 2); a(n) == A033485(n) (mod 2).

Multiplicative with a(2^e) = (1 + e) mod 4, a(p^e) = 1 for odd prime p. - Andrew Howroyd, Aug 06 2018

MATHEMATICA

Nest[ Function[ l, {Flatten[(l /. {0 -> {1, 1}, 1 -> {1, 2}, 2 -> {1, 3}, 3 -> {1, 0}})] }], {0}, 7] (* Robert G. Wilson v, Mar 04 2005 *)

PROG

(PARI) a(n)=(1 + valuation(n, 2)) %4; \\ Andrew Howroyd, Aug 06 2018

CROSSREFS

Cf. A001511.

Sequence in context: A106406 A123864 A035175 * A265578 A279288 A078734

Adjacent sequences:  A092409 A092410 A092411 * A092413 A092414 A092415

KEYWORD

easy,mult,nonn

AUTHOR

Philippe Deléham, Mar 22 2004

STATUS

approved

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Last modified October 23 18:27 EDT 2018. Contains 316529 sequences. (Running on oeis4.)