A109689 Smallest cube that contains exactly n occurrences of the string n.

1, 1, 21952, 5735339, 4410944, 3553559576, 66676466375, 7707245470777, 148388768680888, 999970000299999, 310810243810243102106210518101010107767, 1115341111117511141118670443456

Offset

0,3

Comments

10^32 < a(10) <= 101010101010100310108799210878085984030872. - Donovan Johnson, Jan 16 2013

For a(11), I assumed the occurrences could overlap. a(12) <= 1271462121212121201236561213010121209124112392. - Giovanni Resta, Feb 09 2013

Links

Table of n, a(n) for n=0..11.

Example

a(2) = 21952 since this is the first cube that contains exactly two 2's.

Prog

(Python) # a() in A109691
print([a(n, POW=3) for n in range(10)]) # Michael S. Branicky, Dec 21 2020

Crossrefs

Cf. A109690 (4th powers), A109691 (5th powers).

Sequence in context: A066693 A262821 A250569 * A209733 A203441 A217533

Adjacent sequences: A109686 A109687 A109688 * A109690 A109691 A109692

Keyword

base,more,nonn

Author

Erich Friedman, Aug 07 2005

Extensions

a(10) from Giovanni Resta, Jan 21 2013

a(11) from Giovanni Resta, Feb 09 2013

Status

approved