A351072 a(n) is the number of prime(1+n)-smooth numbers larger than one whose k-th arithmetic derivative is zero for some k.

1, 5, 13, 57, 273, 1747, 12877, 105366

Offset

0,2

Comments

Number of prime(1+n)-smooth terms > 1 in A099308 and in A351255.

See comments in A351071 about extending this sequence.

Links

Table of n, a(n) for n=0..7.

Formula

a(n) = A328307(A002110(1+n))-2.

Crossrefs

Partial sums of A351071.

Cf. A003415, A002110, A099308, A328307, A351255.

Sequence in context: A149552 A084136 A091147 * A149553 A149554 A149555

Adjacent sequences: A351069 A351070 A351071 * A351073 A351074 A351075

Keyword

nonn,hard,more

Author

Antti Karttunen, Feb 14 2022

Status

approved