A166707 Totally multiplicative sequence with a(p) = a(p-1) + 10 for prime p.

1, 11, 21, 121, 131, 231, 241, 1331, 441, 1441, 1451, 2541, 2551, 2651, 2751, 14641, 14651, 4851, 4861, 15851, 5061, 15961, 15971, 27951, 17161, 28061, 9261, 29161, 29171, 30261, 30271, 161051, 30471, 161161, 31571, 53361, 53371, 53471, 53571

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (a(p-1)+10)^e. If n = Product p(k)^e(k) then a(n) = Product (a(p(k)-1)+10)^e(k).

Prog

(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] + 10)^e)); a} \\ Andrew Howroyd, Nov 16 2025

Crossrefs

Cf. A166699.

Sequence in context: A071157 A096104 A126299 * A116525 A384792 A094623

Adjacent sequences: A166704 A166705 A166706 * A166708 A166709 A166710

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved