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A330890 Decimal expansion of Product_{k>=1} (1 + 1/A002144(k)^2)/(1 - 1/A002144(k)^2). 1
1, 1, 1, 3, 6, 8, 0, 6, 1, 8, 1, 3, 2, 3, 1, 6, 4, 8, 8, 8, 6, 1, 8, 9, 1, 9, 4, 1, 1, 9, 8, 3, 1, 9, 9, 1, 3, 6, 5, 6, 5, 8, 2, 7, 5, 4, 7, 8, 7, 7, 5, 9, 2, 3, 2, 4, 4, 5, 6, 1, 1, 5, 1, 6, 3, 4, 6, 7, 5, 6, 7, 2, 7, 7, 2, 5, 4, 6, 6, 5, 1, 0, 7, 5, 0, 3, 6, 6, 2, 7, 6, 5, 2, 7, 7, 4, 1, 8, 1, 5, 8, 8, 1, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Equals 12*G/Pi^2, where G is Catalan's constant (A006752).

Equals A243380 / A088539.

Equals Sum_{q in A004613} 2^A001221(q)/q^2. - R. J. Mathar, Jan 27 2021

EXAMPLE

1.1136806181323164888618919411983199136565827547877592324456...

MATHEMATICA

RealDigits[12*Catalan/Pi^2, 10, 120][[1]]

PROG

(PARI) 12*Catalan/Pi^2 \\ Michel Marcus, May 01 2020

CROSSREFS

Cf. A002144, A088539, A242822, A243380.

Cf. A334424/A334425, A334445/A334446, A334449/A334450.

Sequence in context: A067697 A137128 A256372 * A337404 A133442 A133193

Adjacent sequences:  A330887 A330888 A330889 * A330891 A330892 A330893

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Apr 30 2020

STATUS

approved

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Last modified January 24 04:47 EST 2022. Contains 350534 sequences. (Running on oeis4.)