A276144 Solutions y to x/SOD(x) = y, where x and y are palindromes.

1, 1, 1, 1, 1, 1, 1, 1, 1, 7777, 77077, 122221, 707707, 770077, 7070707, 7700077, 4444444, 88888888, 70077007, 70700707, 77000077, 88888888, 88888888, 888808888, 488888884, 700707007, 707000707, 404444404, 770000077, 440444044, 444040444, 848888848, 884888488

Offset

1,10

Comments

"SOD" = "sum of digits" (A007953).

Links

Lars Blomberg, Table of n, a(n) for n = 1..10000

C. Rivera, PrimePuzzles.Net, Puzzle 41.- Palindromic Carnival, section B.

Example

279972/SOD(279972) = 279972/36 = 7777, so 7777 is a term.

Crossrefs

See A276142 for the x values.

See A276143 for the SOD(x) values.

Cf. A002113, A005349, A007953.

Sequence in context: A223361 A222339 A043520 * A234032 A290339 A234460

Adjacent sequences: A276141 A276142 A276143 * A276145 A276146 A276147

Keyword

nonn,base

Author

Lars Blomberg, Aug 22 2016

Status

approved