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 A260254 Number of ways to write n as sum of two palindromes in decimal representation. 12
 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(A035137(n)) = 0; a(A260255(n)) > 0. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Hugo Pfoertner, Plot of first 10^6 terms Hugo Pfoertner, Plot of first 3*10^7 terms FORMULA a(n) = sum{A136522(n - A002113(k)): k = 1..floor(n/2)}. EXAMPLE .   n | a(n) |                                n | a(n) | . ----+------+--------------------------    ----+------+-------------- .   0 |    1 |  0                            21 |    0 |  ./. .   1 |    1 |  1                            22 |    2 |  22, 11+11 .   2 |    2 |  2, 1+1                       23 |    1 |  22+1 .   3 |    2 |  3, 2+1                       24 |    1 |  22+2 .   4 |    3 |  4, 3+1, 2+2                  25 |    1 |  22+3 .   5 |    3 |  5, 4+1, 3+2                  26 |    1 |  22+4 .   6 |    4 |  6, 5+1, 4+2, 3+3             27 |    1 |  22+5 .   7 |    4 |  7, 6+1, 5+2, 4+3             28 |    1 |  22+6 .   8 |    5 |  8, 7+1, 6+2, 5+3, 4+4        29 |    1 |  22+7 .   9 |    5 |  9, 8+1, 7+2, 6+3, 5+4        30 |    1 |  22+8 .  10 |    5 |  9+1, 8+2, 7+3, 6+4, 5+5      31 |    1 |  22+9 .  11 |    5 |  11, 9+2, 8+3, 7+4, 6+5       32 |    0 |  ./. .  12 |    5 |  11+1, 9+3, 8+4, 7+5, 6+6     33 |    2 |  33, 22+11 .  13 |    4 |  11+2, 9+4, 8+5, 7+6          34 |    1 |  33+1 .  14 |    4 |  11+3, 9+5, 8+6, 7+7          35 |    1 |  33+2 .  15 |    3 |  11+4, 9+6, 8+7               36 |    1 |  33+3 .  16 |    3 |  11+5, 9+7, 8+8               37 |    1 |  33+4 .  17 |    2 |  11+6, 9+8                    38 |    1 |  33+5 .  18 |    2 |  11+7, 9+9                    39 |    1 |  33+6 .  19 |    1 |  11+8                         40 |    1 |  33+7 .  20 |    1 |  11+9                         41 |    1 |  33+8  . PROG (Haskell) a260254 n = sum \$ map (a136522 . (n -)) \$                takeWhile (<= n `div` 2) a002113_list CROSSREFS Cf. A002113, A136522, A035137, A260255. Sequence in context: A262907 A341721 A290323 * A337853 A282711 A035100 Adjacent sequences:  A260251 A260252 A260253 * A260255 A260256 A260257 KEYWORD nonn,base,look AUTHOR Reinhard Zumkeller, Jul 21 2015 STATUS approved

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Last modified December 6 13:45 EST 2021. Contains 349563 sequences. (Running on oeis4.)