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A266296 Decimal expansion of a number close to 24, related to the Ramanujan number e^(Pi*sqrt(163)). 0
2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5, 1, 2, 7, 8, 7, 3, 8, 6, 1, 4, 1, 1, 2, 0, 7, 5, 0, 6, 3, 5, 1, 1, 5, 7, 2, 8, 9, 0, 7, 2, 5, 7, 7, 2, 6, 4, 9, 5, 5, 4, 3, 5, 0, 9, 9, 5, 1, 2, 3, 4, 5, 2, 7, 1, 7, 9, 8, 6, 3, 2, 0, 3, 3, 8, 0, 9, 1, 3, 0, 5, 8, 5, 8, 5, 9, 3, 7, 4, 9, 3, 5, 6, 5, 5, 2, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..106.

Tito Piezas III The Ramanujan pages, see section 22.

Eric Weisstein's MathWorld, Almost Integer

FORMULA

x^24 - e^(Pi*sqrt(163)), where x is the real root of x^3 - 6x^2 + 4x - 2.

EXAMPLE

24.00000000000000105127873861411207506351157289072577264955435...

MATHEMATICA

QP = QPochhammer; r4A[tau_] := With[{q = Exp[2 I Pi tau]}, (1/q) (QP[q^2]^2/(QP[q] QP[q^4]))^24]; RealDigits[r4A[(1/2) Sqrt[-163]] - Exp[Pi Sqrt[163]], 10, 105][[1]]

(* or: *)

x = Root[#^3 - 6#^2 + 4# - 2&, 1]; RealDigits[x^24 - Exp[Pi Sqrt[ 163]], 10, 105][[1]]

CROSSREFS

Cf. A060295, A097340, A114609, A114610.

Sequence in context: A082871 A321406 A166926 * A028573 A138758 A107501

Adjacent sequences:  A266293 A266294 A266295 * A266297 A266298 A266299

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Mar 13 2016

STATUS

approved

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Last modified July 11 07:39 EDT 2020. Contains 335623 sequences. (Running on oeis4.)