The On-Line Encyclopedia of Integer Sequences (OEIS)

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A203303

Vandermonde determinant of the first n terms of (1,2,4,8,16,...).
(history; published version)

#19 by Robert Israel at Tue Jan 16 21:40:57 EST 2018

STATUS

editing

proposed

#18 by Robert Israel at Tue Jan 16 21:40:42 EST 2018

LINKS

Robert Israel, <a href="/A203303/b203303.txt">Table of n, a(n) for n = 1..22</a>

FORMULA

a(n) = Product_{0 <= i < j <= n-1} (2^j - 2^i) = 2^(n*(n-1)*(n-2)/6) * Product_{1<=k<=n-1} (2^k-1)^(n-k). - Robert Israel, Jan 16 2018

STATUS

proposed

editing

#17 by Felix Fröhlich at Tue Jan 16 15:10:43 EST 2018

STATUS

editing

proposed

#16 by Felix Fröhlich at Tue Jan 16 15:10:18 EST 2018

LINKS

Daniel M. Kane, Carlo Sanna, and Jeffrey Shallit, <a href="https://arxiv.org/abs/1801.04483">Waring's theorem for binary powers</a>, arXiv:1801.04483 [math.NT], Jan 13 2018.

arXiv:1801.04483 [math.NT], Jan 13 2018

STATUS

proposed

editing

#15 by Omar E. Pol at Tue Jan 16 15:09:20 EST 2018

STATUS

editing

proposed

#14 by Omar E. Pol at Tue Jan 16 15:08:44 EST 2018

REFERENCES

Daniel M. Kane, Carlo Sanna, and Jeffrey Shallit, <a href="https://arxiv.org/abs/1801.04483">Waring's theorem for binary powers,

arXiv:1801.04483 [math.NT], Jan 13 2018

LINKS

Daniel M. Kane, Carlo Sanna, and Jeffrey Shallit, <a href="https://arxiv.org/abs/1801.04483">Waring's theorem for binary powers</a>,

arXiv:1801.04483 [math.NT], Jan 13 2018

STATUS

proposed

editing

Discussion

Tue Jan 16

15:09

Omar E. Pol: Minor edits.

#13 by Omar E. Pol at Tue Jan 16 15:02:00 EST 2018

STATUS

editing

proposed

#12 by Omar E. Pol at Tue Jan 16 15:01:57 EST 2018

COMMENTS

Each term divides its successor, as in A002884. Indeed, 2*v(n+1)/v(n) divides v(n+2)/v(n+1), as in A171499.

REFERENCES

arXiv:1801.04483 [math.NT], January Jan 13 2018.

STATUS

proposed

editing

#11 by Jeffrey Shallit at Tue Jan 16 14:52:17 EST 2018

STATUS

editing

proposed

#10 by Jeffrey Shallit at Tue Jan 16 14:52:10 EST 2018

REFERENCES

Daniel M. Kane, Carlo Sanna, and Jeffrey Shallit, <a href="https://arxiv.org/abs/1801.04483">Waring's theorem for binary powers,

arXiv:1801.04483 [math.NT], January 13 2018.

STATUS

approved

editing