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A261924 Numbers that are the sum of two palindromes of the same length. 2

%I #11 Dec 06 2015 18:16:15

%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,33,44,55,66,77,88,

%T 99,110,121,132,143,154,165,176,187,198,202,212,222,232,242,252,262,

%U 272,282,292,302,303,312,313,322,323,332,333,342,343,352,353,362,363,372,373,382,383,393

%N Numbers that are the sum of two palindromes of the same length.

%C Theorem: For a fixed value of d, adding two palindromes of length d in all possible ways produces 19 distinct sums if d=1, and 17*19^floor((d-1)/2) distinct sums if d>1. (The number of palindromes with d digits is 10 if d = 1, otherwise 9*10^floor((d-1)/2).) - _N. J. A. Sloane_, Dec 06 2015

%H N. J. A. Sloane, <a href="/A261924/b261924.txt">Table of n, a(n) for n = 1..12956</a>

%Y Cf. A002113, A261921, A261925, etc.

%K nonn,base

%O 1,3

%A _David Applegate_ and _N. J. A. Sloane_, Sep 17 2015

%E Modified to include the zero palindrome. - _N. J. A. Sloane_, Dec 06 2015

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)