A166703 Totally multiplicative sequence with a(p) = a(p-1) + 6 for prime p.

1, 7, 13, 49, 55, 91, 97, 343, 169, 385, 391, 637, 643, 679, 715, 2401, 2407, 1183, 1189, 2695, 1261, 2737, 2743, 4459, 3025, 4501, 2197, 4753, 4759, 5005, 5011, 16807, 5083, 16849, 5335, 8281, 8287, 8323, 8359, 18865, 18871, 8827, 8833, 19159, 9295, 19201

Offset

1,2

Links

Andrew Howroyd, Table of n, a(n) for n = 1..10000

Formula

Multiplicative with a(p^e) = (a(p-1)+6)^e. If n = Product p(k)^e(k) then a(n) = Product (a(p(k)-1)+6)^e(k).

Prog

(PARI) a(n)={n=factor(n); n[, 1]=apply(p->a(p-1)+6, n[, 1]); factorback(n)} \\ - M. F. Hasler, Nov 03 2013
(PARI) lista(n)={my(a=vector(n)); for(n=1, n, my(f=factor(n)); a[n] = prod(i=1, #f~, my([p, e]=f[i, ]); (a[p-1] + 6)^e)); a} \\ Andrew Howroyd, Nov 15 2025

Crossrefs

Cf. A166699.

Sequence in context: A267310 A153119 A393543 * A116522 A320462 A108056

Adjacent sequences: A166700 A166701 A166702 * A166704 A166705 A166706

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved