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A069505 a(1) = 1; a(n) = smallest palindromic number of the form k*a(n-1) + 1 with k > 1. 6
1, 3, 7, 22, 111, 1111, 11111, 111111, 1111111, 11111111, 111111111, 1111111111, 11111111111, 111111111111, 1111111111111, 11111111111111, 111111111111111, 1111111111111111, 11111111111111111, 111111111111111111 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

FORMULA

a(n) = (10^(n-2) - 1)/9 for n > 4.

G.f.: (110*x^5 - 61*x^4 - 25*x^3 - 16*x^2 - 8*x + 1)/(10*x-1)/(x-1). - Maksym Voznyy (voznyy(AT)mail.ru), Jan 10 2008

MAPLE

A069505:=seriestolist(taylor((1+110*x^5-61*x^4-25*x^3-16*x^2-8*x)/(10*x-1)/(x-1), x, 20)); # Maksym Voznyy (voznyy(AT)mail.ru), Jan 10 2008

CROSSREFS

Cf. A069506, A069507, A069508, A069509, A069510.

Sequence in context: A252784 A082271 A229438 * A173878 A225264 A032403

Adjacent sequences:  A069502 A069503 A069504 * A069506 A069507 A069508

KEYWORD

nonn,base

AUTHOR

Amarnath Murthy, Mar 30 2002

EXTENSIONS

More terms from Patrick De Geest, Jun 11 2003

STATUS

approved

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Last modified February 29 05:25 EST 2020. Contains 332353 sequences. (Running on oeis4.)