A259729 Sum of digits of a(n) equals the sum of digits of 5*a(n).

0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 126, 144, 162, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 297, 306, 324, 342, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450, 459, 477, 495, 504, 522, 540, 549, 558, 567, 576, 585, 594

Offset

1,2

Comments

A007953(a(n)) = A007953(5*a(n)).

a(n) is a multiple of 9, but not all multiples of 9 belong to the sequence: 117 = 13*9: A007953(117) = 1 + 1 + 7 = 9, but A007953(5*117) = A007953(585) = 5 + 8 + 5 = 18.

Links

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

Example

18 belongs to the sequence, because A007953(18) = 9 = A007953(90) = A007953(5*18).

Mathematica

Select[Range[0, 600], Total@ IntegerDigits@ # == Total@ IntegerDigits[5 #] &] (* Michael De Vlieger, Aug 05 2015 *)

Prog

(Magma) [n: n in [0..800] | &+Intseq(n) eq &+Intseq(5*n)]; // Vincenzo Librandi, Aug 05 2015

Crossrefs

Cf. A007953, A070279, A259727, A259728.

Sequence in context: A072830 A008591 A070279 * A016096 A335978 A070793

Adjacent sequences: A259726 A259727 A259728 * A259730 A259731 A259732

Keyword

nonn,base

Author

Christina Steffan, Jul 05 2015

Status

approved