A089652 Partial sums, modulo 4, of the sequence: a(1)=1, a(1), a(1), a(1), a(1), a(2), a(2), a(2), a(2), a(3), a(3), a(3), a(3), a(4), ... each term (not a(1)) repeated 4 times.

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

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Index entries for sequences that are fixed points of mappings

Formula

A fixed point of the mapping 1->1230, 2->1313, 3->1032, 0->1111.

Mathematica

Nest[ Function[ l, {Flatten[(l /. {0 -> {1, 1, 1, 1}, 1 -> {1, 2, 3, 0}, 2 -> {1, 3, 1, 3}, 3 -> {1, 0, 3, 2}})] }], {1}, 4] (* Robert G. Wilson v, Mar 04 2005 *)

Crossrefs

Sequence in context: A179392 A106730 A343713 * A195467 A112168 A072516

Adjacent sequences: A089649 A089650 A089651 * A089653 A089654 A089655

Keyword

easy,nonn

Author

Philippe Deléham, Jan 02 2004

Extensions

More terms from Robert G. Wilson v, Mar 04 2005

Status

approved