A230355 Nonsquarefree numbers n such that digit sum of n = digit sum of squarefree part of n.

12, 24, 60, 100, 120, 132, 150, 156, 200, 204, 228, 240, 264, 276, 300, 320, 348, 372, 420, 500, 516, 552, 600, 624, 636, 660, 700, 708, 732, 744, 780, 912, 1000, 1014, 1050, 1056, 1068, 1092, 1100, 1128, 1164, 1200, 1212, 1216, 1236, 1248, 1272, 1300, 1308, 1320, 1356, 1380, 1392, 1400

Offset

1,1

Links

Table of n, a(n) for n=1..54.

Example

Squarefree part of 624=2^4*3*13 is 39. Digit_sum(624)=12, digit_sum(39)=12

Prog

(PARI)
digsum(n)={local (d, p); d=0; p=n; while(p, d+=p%10; p=floor(p/10)); return(d)}
{for (n=4, 10^3, m=core(n); if(digsum(n)==digsum(m)&&m<>n, print(n))); }

Crossrefs

Cf. A006753, A230354, A230356, A230357.

Sequence in context: A348716 A098585 A087105 * A063975 A227895 A330076

Adjacent sequences: A230352 A230353 A230354 * A230356 A230357 A230358

Keyword

nonn,base,less

Author

Antonio Roldán, Oct 16 2013

Status

approved