A106026 A fractal transform of Pell numbers : a(1)=1 then if b(n)<k<=b(n+1) a(k)=b(n+1)-a(k-b(n)) where b(n)=A000129(n).

1, 1, 4, 4, 1, 11, 11, 8, 8, 11, 1, 1, 28, 28, 25, 25, 28, 18, 18, 21, 21, 18, 28, 28, 1, 1, 4, 4, 1, 69, 69, 66, 66, 69, 59, 59, 62, 62, 59, 69, 69, 42, 42, 45, 45, 42, 52, 52, 49, 49, 52, 42, 42, 69, 69, 66, 66, 69, 1, 1, 4, 4, 1, 11, 11, 8, 8, 11, 1, 1, 168, 168, 165, 165, 168, 158

Offset

1,3

Comments

Graphs of a(k) for k=1 up to A000129(n) and n=1,2,3,... present fractal aspects.

Links

Table of n, a(n) for n=1..76.

Formula

Among many properties a(A000129(n))=1

Crossrefs

Cf. A105669 (fractal transform of Fibonacci's numbers), A105670 (fractal transform of powers of 2), A105672(fractal transform of powers of 3).

Sequence in context: A243594 A360707 A365674 * A096078 A140313 A102323

Adjacent sequences: A106023 A106024 A106025 * A106027 A106028 A106029

Keyword

nonn

Author

Benoit Cloitre, May 05 2005

Status

approved