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A239480 Palindromes such that additive and multiplicative persistences coincide. 1
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 99, 101, 111, 121, 131, 141, 151, 161, 171, 202, 212, 222, 262, 282, 303, 313, 393, 404, 424, 454, 474, 525, 545, 565, 585, 595, 636, 656, 676, 757, 838, 858, 959, 1001, 1111, 1221, 1331, 1441, 1991, 2002, 2112, 2552 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Palindromes n for which A031286(n) = A031346(n).

LINKS

Table of n, a(n) for n=1..55.

Eric Weisstein's World of Mathematics, Additive Persistence

Eric Weisstein's World of Mathematics, Multiplicative Persistence

Index entries for sequences related to palindromes

FORMULA

A002113 INTERSECT A239427.

EXAMPLE

99 -> 18 -> 9 has additive persistence 2. 99 -> 81 -> 8 has multiplicative persistence 2. The palindromic number 99 is therefore in the sequence.

PROG

(PARI) for(n=0, 2552, s=Vec(Str(n)); if(s==vecextract(s, "-1..1"), v=n; a=0; while(n>9, a++; n=sumdigits(n)); n=v; m=0; while(n>9, m++; d=digits(n); n=prod(k=1, #d, d[k])); n=v; if(a==m, print1(n, ", "))));

CROSSREFS

Cf. A002113, A031286, A031346, A239427.

Sequence in context: A082208 A201061 A099165 * A117055 A117056 A082207

Adjacent sequences:  A239477 A239478 A239479 * A239481 A239482 A239483

KEYWORD

nonn,base

AUTHOR

Arkadiusz Wesolowski, Mar 20 2014

STATUS

approved

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Last modified October 1 08:39 EDT 2020. Contains 337442 sequences. (Running on oeis4.)