A186671 - OEIS

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A186671

Total number of positive integers below 10^n requiring 13 positive biquadrates in their representation as sum of biquadrates.

19

0, 6, 66, 706, 6945, 67173, 667369, 6667582, 66667813, 666668052, 6666668292, 66666668516, 666666668714

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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) + A186667(n) + A186669(n) + a(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) = 13 }. - Martin Fuller, Jan 13 2026

CROSSREFS

Cf. A046044, A186672.

Sequence in context: A186675 A186673 A213453 * A131519 A373816 A022024

Adjacent sequences: A186668 A186669 A186670 * A186672 A186673 A186674

KEYWORD

nonn,more

AUTHOR

Martin Renner, Feb 25 2011

EXTENSIONS

a(5)-a(6) from Lars Blomberg, May 08 2011

a(7) from Charles R Greathouse IV, 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