A335393 a(1) = 1 and for any n >= 1, a(2*n) = a(n) + 5, a(2*n+1) = a(n) * 3.

1, 6, 3, 11, 18, 8, 9, 16, 33, 23, 54, 13, 24, 14, 27, 21, 48, 38, 99, 28, 69, 59, 162, 18, 39, 29, 72, 19, 42, 32, 81, 26, 63, 53, 144, 43, 114, 104, 297, 33, 84, 74, 207, 64, 177, 167, 486, 23, 54, 44, 117, 34, 87, 77, 216, 24, 57, 47, 126, 37, 96, 86, 243

Offset: 1

Author

Rémy Sigrist, Jun 05 2020

Keywords

• nonn

Comments

All terms belong to A335155.

For any k > 0, the value k appears A335392(k) times.

Examples

			a(12) = a(6) + 5 = a(3) + 5 + 5 = a(1) * 3 + 5 + 5 = 1 * 3 + 5 + 5 = 13.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..8192

Crossrefs

Cf. A335155, A335365, A335392.

Programs

PARI

a(n) = { if (n==1, 1, n%2==0, a(n\2)+5, a(n\2)*3) }

Formula

a(2^k) = 1 + 5*k for any k >= 0.

a(2^k-1) = 2^(k-1) for any k > 0.