A358234 Number of ways 2n can be expressed as an unordered product of two natural numbers that do not generate any carries when added together in the primorial base.

1, 2, 2, 1, 1, 2, 2, 2, 3, 1, 1, 4, 2, 3, 3, 1, 1, 4, 2, 2, 4, 1, 1, 4, 2, 3, 4, 2, 1, 5, 2, 3, 3, 1, 2, 6, 2, 3, 4, 1, 1, 4, 2, 2, 5, 1, 1, 6, 3, 3, 3, 2, 1, 5, 2, 4, 4, 1, 1, 7, 2, 3, 6, 1, 2, 5, 2, 2, 3, 2, 1, 6, 2, 3, 4, 2, 2, 3, 2, 3, 4, 1, 1, 6, 2, 3, 2, 1, 1, 8, 3, 2, 4, 1, 2, 5, 2, 4, 5, 1, 1, 5, 2, 3, 6

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to primorial base

Formula

a(n) = A358233(2*n).

Prog

(PARI) A358234(n) = A358233(n+n);

Crossrefs

Bisection of A358233.

Sequence in context: A156268 A053257 A331002 * A349366 A151702 A151552

Adjacent sequences: A358231 A358232 A358233 * A358235 A358236 A358237

Keyword

nonn,base

Author

Antti Karttunen, Nov 26 2022

Status

approved