A378950 Numbers that are a proper substring of the concatenation (with repetition) in decreasing order of their prime factors.

95, 132, 995, 9995, 73332, 85713, 93115, 131131, 197591, 632812, 999995, 4285713, 8691315, 58730137, 99999995, 131373333, 507107133, 4870313015

Offset

1,1

Comments

All numbers of the form 5*A055558(k), k>=1, are terms.

Links

Table of n, a(n) for n=1..18.

Example

95 is a term as 95 = 19 * 5 = "195" when concatenated, which contains "95" as a substring.
632812 is a term as 632812 = 563 * 281 * 2 * 2 = "56328122" when concatenated, which contains "632812" as a substring.
4870313015 is a term as 4870313015 = 748703 * 1301 * 5 = "74870313015" when concatenated, which contains "4870313015" as a substring.

Crossrefs

Cf. A027746, A378893, A378894, A376078, A372309.

Sequence in context: A368873 A074237 A192180 * A134217 A039552 A063371

Adjacent sequences: A378947 A378948 A378949 * A378951 A378952 A378953

Keyword

nonn,base,more

Author

Scott R. Shannon, Dec 11 2024

Status

approved