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A083478 a(n) is the smallest k > 0 such that k*Palindrome(n)+1 is a palindrome. 2
1, 1, 1, 1, 1, 1, 1, 1, 6, 10, 5, 7, 8, 2, 9, 3, 4, 6, 100, 10, 5, 4, 3, 2, 2, 2, 2, 2, 50, 50, 5, 4, 3, 2, 2, 2, 2, 2, 40, 40, 40, 7, 797, 2, 2, 2, 2, 2, 25, 30, 25, 420, 8, 2, 2, 2, 2, 2, 20, 20, 20, 20, 20, 2, 32, 117, 24, 28, 20, 20, 20, 20, 20, 89, 9, 52, 1870, 150, 20, 20, 20, 20, 20, 85 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..130

FORMULA

a(n) = (A083477(n)-1)/A002113(n). a(n) = A082744(A002113(n)). - David Wasserman, Nov 16 2004

EXAMPLE

a(11) = 5 because A002113(11) = 22 and 111 = 5*22+1.

MATHEMATICA

skpal[n_]:=Module[{k=1}, While[!PalindromeQ[k*n+1], k++]; k]; skpal/@Select[ Range[ 1000], PalindromeQ] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jul 22 2018 *)

CROSSREFS

Cf. A083477.

Sequence in context: A052193 A144763 A280302 * A328202 A306368 A075368

Adjacent sequences:  A083475 A083476 A083477 * A083479 A083480 A083481

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 03 2003

EXTENSIONS

Corrected and extended by David Wasserman, Nov 16 2004

STATUS

approved

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Last modified June 24 12:30 EDT 2021. Contains 345416 sequences. (Running on oeis4.)