A393042 a(n) is the least integer whose arithmetic derivative has n trailing zeros in its primorial base representation (A049345).

2, 4, 8, 36, 441, 1800, 120112, 1547371, 13668700, 205818696

Offset

0,1

Comments

A003415 applied to the terms gives: 1, 4, 12, 60, 420, 4620, 240240, 510510, 19399380, 446185740, etc. (most likely a subsequence of A060735), with primorial base expansions (A049345) that have an increasing number of trailing zeros: 1, 20, 200, 2000, 20000, 200000, 8000000, 10000000, 200000000, 2000000000, etc.

Links

Table of n, a(n) for n=0..9.

Index entries for sequences related to primorial base.

Formula

A393041(a(n)) = n.

When A368703(n) > 0, a(n) <= A368703(n).

Crossrefs

The index of the first occurrence of n in A393041, very likely also the positions of its records.

Cf. A003415, A049345, A060735, A276084, A368703.

Sequence in context: A070897 A180154 A320025 * A172977 A018380 A058236

Adjacent sequences: A393039 A393040 A393041 * A393043 A393044 A393045

Keyword

nonn,more

Author

Antti Karttunen, Feb 03 2026

Status

approved