A391095 Integers k such that Sum_{j|k, j!=k} A036044(j) = A036044(k).

1, 3, 7, 12, 31, 55, 127, 135, 208, 1095, 8191, 75447, 131071, 524287, 1631620, 2157040, 2360955, 2669567, 7552768, 9599551, 12630271, 13898863, 18653559, 19826143, 20471807, 62648191, 64965199, 155159388, 455436287, 900251647, 1468363567, 2147483647, 2564808703

Offset

1,2

Comments

A000668 is a subsequence.

Links

Paolo P. Lava, Table of n, a(n) for n = 1..40

Example

Aliquot parts of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104.
Write in binary, complement, reverse, write in decimal:
  1: 1 -> 0 -> 0;
  2: 10 -> 10 -> 2;
  4: 100 -> 110 -> 6;
  8: 1000 -> 1110 -> 14;
  13: 1101 -> 100 -> 4;
  16: 10000 -> 11110 -> 30;
  26: 11010 -> 10100 -> 20;
  52: 110100 -> 110100 -> 52;
  104: 1101000 -> 1110100 -> 116 and 0 + 2 + 6 + 14 + 4 +30 + 20 + 51 + 116 = 244.
  208: 11010000 -> 11110100 -> 244.

Crossrefs

Cf. A000668, A034785, A036044.

Sequence in context: A167490 A081533 A096856 * A347862 A345260 A108154

Adjacent sequences: A391092 A391093 A391094 * A391096 A391097 A391098

Keyword

nonn,base,hard,changed

Author

Paolo P. Lava, Nov 28 2025

Extensions

a(16) onward by Giovanni Resta, Nov 29 2025

Status

approved