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A100378 Decimal expansion of exp(Pi*sqrt(89/3)). 0
2, 7, 0, 0, 0, 0, 4, 1, 9, 9, 9, 9, 7, 1, 0, 0, 0, 0, 5, 7, 0, 0, 6, 7, 1, 7, 0, 5, 9, 9, 8, 9, 9, 7, 0, 6, 6, 9, 9, 0, 6, 2, 7, 2, 7, 0, 3, 2, 0, 8, 2, 1, 2, 1, 3, 9, 9, 6, 8, 7, 3, 1, 4, 5, 0, 3, 7, 0, 8, 1, 9, 3, 5, 2, 0, 4, 1, 3, 5, 5, 8, 4, 0, 9, 7, 6, 4, 6, 0, 4, 3, 0, 2, 0, 5, 6, 1, 3, 8, 7, 7, 5, 2, 6, 6 (list; constant; graph; refs; listen; history; internal format)
OFFSET

8,1

COMMENTS

Let q = this constant, then q = 300^3 + Sum_{k=0...infinity} (-1)^i*A030197(i)/q^i where A030197 is the McKay-Thompson series of class 3A for Monster, expansion of Hauptmodul for X_0^{+}(3) and expansion of (h+27)^2/h, where h = (eta(q)/eta(q^3))^12.

LINKS

Titus Piezas III, Pi Formulas

EXAMPLE

27000041.999971000057006717059989970669906272703208212...

CROSSREFS

Cf. A030197, A007243, A045480, A060295.

Sequence in context: A151995 A152210 A167446 * A020819 A111953 A199292

Adjacent sequences:  A100375 A100376 A100377 * A100379 A100380 A100381

KEYWORD

nonn,cons

AUTHOR

Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Dec 29 2004

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Last modified February 15 17:13 EST 2012. Contains 205828 sequences.