A186667 - OEIS

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A186667

Total number of positive integers below 10^n requiring 11 positive biquadrates in their representation as sum of biquadrates.

19

0, 6, 70, 760, 7434, 68348, 669289, 6670284, 66671226, 666672168, 6666673077, 66666673999, 666666674940

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OFFSET

1,2

COMMENTS

A114322(n) + A186649(n) + A186651(n) + A186653(n) + A186655(n) + A186657(n) + A186659(n) + A186661(n) + A186663(n) + A186665(n) + a(n) + A186669(n) + A186671(n) + A186673(n) + A186675(n) + A186677(n) + A186680(n) + A186682(n) + A186684(n) = A002283(n).

LINKS

Table of n, a(n) for n=1..13.

Eric Weisstein's World of Mathematics, Waring's Problem.

FORMULA

a(n) = # { k < 10^n | A002377(k) = 11 }. - Martin Fuller, Jan 13 2026

CROSSREFS

Cf. A003345, A186668.

Sequence in context: A286527 A384686 A104900 * A001448 A024489 A354328

Adjacent sequences: A186664 A186665 A186666 * A186668 A186669 A186670

KEYWORD

nonn,more

AUTHOR

Martin Renner, Feb 25 2011

EXTENSIONS

a(5)-a(7) from Lars Blomberg, May 08 2011

a(8)-a(9) from Hiroaki Yamanouchi, Oct 13 2014

a(10)-a(11) from Giovanni Resta, Apr 29 2016

a(12)-a(13) from Martin Fuller, Jan 13 2026

STATUS

approved