A276142 Solutions to x/SOD(x) = y, where x and y are palindromes, a(n)=x.

1, 2, 3, 4, 5, 6, 7, 8, 9, 279972, 2774772, 5499945, 25477452, 27722772, 254545452, 277202772, 279999972, 2133333312, 2522772252, 2545225452, 2772002772, 4266666624, 6399999936, 21331413312, 23466666432, 25225452252, 25452025452, 25479997452, 27720002772

Offset

1,2

Comments

"SOD" = "sum of digits", A007953.

Subset of intersection of A002113 and A005349. - David A. Corneth, Aug 23 2016

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 279972 is a term.

Crossrefs

See A276143 for the SOD(x) values.

See A276144 for the y values.

Cf. A002113, A005349, A007953.

Sequence in context: A248794 A032555 A032559 * A227549 A110370 A249517

Adjacent sequences: A276139 A276140 A276141 * A276143 A276144 A276145

Keyword

nonn,base

Author

Lars Blomberg, Aug 22 2016

Status

approved