A333802 Numbers k such that A181894(k)+1 = A181894(k+1).

2, 3, 4, 16, 20, 35, 143, 152, 208, 256, 650, 1624, 2232, 4233, 4345, 5368, 8099, 9424, 11024, 11919, 12099, 14905, 18424, 20220, 21716, 22194, 24335, 25592, 26123, 27390, 30457, 34945, 38180, 40425, 51992, 52206, 52947, 56563, 63712, 65536, 67123, 71154, 71284

Offset

1,1

Comments

A variation of A064111 and A228126 with "Fermi-Dirac primes" (or infinitary components) instead of prime divisors.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

4 is a term since A181894(4) + 1 = 4 + 1 = 5 = A181894(5).

Mathematica

f[p_, e_] := p^(2^(-1 + Position[Reverse @ IntegerDigits[e, 2], 1])); s[1] = 0; s[n_] := Plus @@ (Flatten @ (f @@@ FactorInteger[n])); seq = {}; s1 = 0; Do[s2 = s[n]; If[s1 + 1 == s2, AppendTo[seq, n - 1]]; s1 = s2, {n, 2, 10^5}]; seq

Crossrefs

Cf. A006145, A039752, A050376, A064111, A181894, A228126, A330999, A333801.

Sequence in context: A004833 A350746 A283515 * A229546 A365574 A343494

Adjacent sequences: A333799 A333800 A333801 * A333803 A333804 A333805

Keyword

nonn

Author

Amiram Eldar, Apr 05 2020

Status

approved