A116032 Numbers k such that k + sigma(k) + phi(k) is a palindrome.

1, 2, 3, 11, 12, 14, 16, 32, 33, 37, 47, 76, 101, 108, 126, 131, 134, 144, 168, 188, 216, 218, 235, 239, 248, 250, 265, 285, 289, 309, 313, 319, 325, 329, 507, 553, 578, 612, 624, 716, 963, 1037, 1058, 1147, 1257, 1406, 1851, 1887, 1948, 1961, 2038, 2196

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

1037 + sigma(1037) + phi(1037) = 3113.

Maple

ispali:= proc(n) local L, i;
  L:= convert(n, base, 10);
  andmap(t -> L[t] = L[-t], [$1..nops(L)/2]);
end proc:
select(n -> ispali(n + numtheory:-sigma(n) + numtheory:-phi(n)), [$1..10000]); # Robert Israel, Dec 20 2023

Crossrefs

Sequence in context: A035122 A085305 A189818 * A116029 A060812 A212129

Adjacent sequences: A116029 A116030 A116031 * A116033 A116034 A116035

Keyword

nonn,base

Author

Giovanni Resta, Feb 13 2006

Status

approved