A166706 - OEIS

A166706

Totally multiplicative sequence with a(p) = a(p-1) + 9 for prime p.

1, 10, 19, 100, 109, 190, 199, 1000, 361, 1090, 1099, 1900, 1909, 1990, 2071, 10000, 10009, 3610, 3619, 10900, 3781, 10990, 10999, 19000, 11881, 19090, 6859, 19900, 19909, 20710, 20719, 100000, 20881, 100090, 21691, 36100, 36109, 36190, 36271

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OFFSET

1,2

LINKS

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

FORMULA

Multiplicative with a(p^e) = (a(p-1)+9)^e. If n = Product p(k)^e(k) then a(n) = Product (a(p(k)-1)+9)^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] + 9)^e)); a} \\ Andrew Howroyd, Nov 16 2025

CROSSREFS

Cf. A166699.

Sequence in context: A181957 A181898 A219688 * A131495 A060630 A070199

Adjacent sequences: A166703 A166704 A166705 * A166707 A166708 A166709

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Oct 18 2009

STATUS

approved