A381270 - OEIS

A381270

a(n) = denominator( [x*y*z]^n 1/sqrt((1 - (x + y + z))*(1 - y - z^2)) ).

1, 4, 64, 64, 16384, 65536, 262144, 524288, 1073741824, 4294967296, 68719476736, 17179869184, 4398046511104, 17592186044416, 140737488355328, 281474976710656, 4611686018427387904, 18446744073709551616, 295147905179352825856, 295147905179352825856, 75557863725914323419136

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

S. Hassani, J.-M. Maillard, and N. Zenine, On the diagonals of rational functions: the minimal number of variables (unabridged version), arXiv:2502.05543 [math-ph], 2025. See p. 28.

MATHEMATICA

a[n_]:=Denominator[SeriesCoefficient[1/Sqrt[(1-(x+y+z))(1-y-z^2)], {x, 0, n}, {y, 0, n}, {z, 0, n}]]; Array[a, 21, 0]

CROSSREFS

Cf. A381269 (numerator).

Cf. A381271, A381272.

Sequence in context: A111444 A368111 A367913 * A210935 A090561 A273375

Adjacent sequences: A381267 A381268 A381269 * A381271 A381272 A381273

KEYWORD

nonn,frac

AUTHOR

Stefano Spezia, Feb 18 2025

STATUS

approved