A109690 Smallest 4th power that contains exactly n occurrences of the string n.

1, 1, 234256, 33362176, 4640470641, 5035553952016, 4396167663616, 4777933277779216, 3588188855118837841, 999395939249909776, 10194140810541095710516105833910101001022641041, 329907785371111117252064111115111841

Offset

0,3

Comments

a(11) = 329907785371111117252064111115111841, assuming occurrences can overlap (cf. A109689). - Michael S. Branicky, Dec 21 2020

Links

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

Example

a(2)=234256 since this is the first 4th power that contains exactly two 2's.

Prog

(Python) # a() in A109691
print([a(n, POW=4) for n in range(10)]) # Michael S. Branicky, Dec 21 2020

Crossrefs

Cf. A109689 (cubes), A109691 (5th powers).

Sequence in context: A250858 A233902 A202938 * A013905 A353634 A237239

Adjacent sequences: A109687 A109688 A109689 * A109691 A109692 A109693

Keyword

base,more,nonn

Author

Erich Friedman, Aug 07 2005

Extensions

a(10) from Bert Dobbelaere, Nov 17 2025

a(11) (found by Michael S. Branicky) added by Bert Dobbelaere, Nov 17 2025

Status

approved