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The Bernoulli triangle is the number triangle illustrated above (OEIS A008949) composed of
the partial sums of binomial coefficients,
where 
is a gamma function and 
is a hypergeometric
function.
The plot above shows the binary representations for the first 255 (top figure) and 511 (bottom figure) terms of a flattened Bernoulli triangle.
See also
Binomial Coefficient
Explore with Wolfram|Alpha
References
Kirillov, A. A. "Variations on the Triangular Theme." In Lie
Groups and Lie Algebras: E. B. Dynkin's Seminar: Dedicated to E. B. Dynkin
on the Occasion of His Seventieth Birthday (Ed. S. G. Gindikin
and E. B. Vinberg.) Providence, RI: Amer. Math. Soc., pp. 43-73, 1995.MacWilliams,
F. J. and Sloane, N. J. A. The
Theory of Error-Correcting Codes. Amsterdam, Netherlands: North-Holland,
p. 376, 1978.Sloane, N. J. A. Sequence A008949
in "The On-Line Encyclopedia of Integer Sequences."Referenced
on Wolfram|Alpha
Bernoulli Triangle
Cite this as:
Weisstein, Eric W. "Bernoulli Triangle."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BernoulliTriangle.html
Subject classifications
