A277332 a(n) = A253565(A003714(n)).

1, 2, 3, 5, 9, 7, 25, 15, 11, 49, 35, 21, 75, 13, 121, 77, 55, 245, 33, 147, 105, 17, 169, 143, 91, 847, 65, 605, 385, 39, 363, 231, 165, 735, 19, 289, 221, 187, 1859, 119, 1183, 1001, 85, 845, 715, 455, 4235, 51, 507, 429, 273, 2541, 195, 1815, 1155, 23, 361, 323, 247, 3757, 209, 3179, 2431, 133, 2023, 1547, 1309, 13013, 95

Offset

0,2

Comments

After the initial terms 1, 2 and 3, all other terms can be inductively generated by applying any finite composition-combination of A253560 and A253550 to 3, but with such a restriction that A253560 may not be applied twice in succession.

A permutation of A277334.

Note how A253565(A022340(n)) = A253565(2*A003714(n)) yields a permutation of A056911, odd squarefree numbers.

Links

Antti Karttunen, Table of n, a(n) for n = 0..10946

Formula

a(n) = A253565(A003714(n)).

Example

55 = A253550(A253550(A253560(A253550(3)))), 55 is in this sequence.

Prog

(Scheme) (define (A277332 n) (A253565 (A003714 n)))

Crossrefs

Cf. A003714, A022340, A253550, A253560, A253565.

Cf. A277334 (same sequence sorted into ascending order).

Cf. also A056911, A277006, A277331.

Sequence in context: A323390 A346096 A324886 * A342456 A100674 A058314

Adjacent sequences: A277329 A277330 A277331 * A277333 A277334 A277335

Keyword

nonn

Author

Antti Karttunen, Oct 12 2016

Status

approved