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A157290 Decimal expansion of 105/Pi^4. 1
1, 0, 7, 7, 9, 2, 8, 1, 3, 6, 7, 4, 1, 8, 5, 5, 1, 9, 4, 8, 6, 1, 0, 4, 2, 2, 4, 3, 0, 4, 7, 4, 6, 2, 8, 8, 4, 8, 9, 1, 9, 1, 9, 1, 9, 4, 6, 3, 2, 0, 1, 7, 5, 8, 5, 4, 0, 7, 6, 4, 3, 7, 2, 4, 5, 5, 7, 2, 3, 4, 5, 8, 0, 9, 3, 2, 9, 5, 1, 6, 2, 6, 1, 5, 2, 6, 0, 0, 1, 0, 2, 6, 0, 0, 5, 5, 0, 1, 5, 0, 9, 0, 8, 4, 8 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

The product_{p= primes = A000040} (1+1/p^4), the quartic analogue to A082020.

FORMULA

Equals A013662/A013666 = product_{i>=1} (1+1/A030514(i)).

EXAMPLE

1.077928136741855194... = (1+1/2^4)*(1+1/3^4)*(1+1/5^4)*(1+1/7^4)*...

MAPLE

evalf(105/Pi^4) ;

MATHEMATICA

RealDigits[105/\[Pi]^4, 10, 150][[1]]  (* From Harvey P. Dale, Mar 20 2011 *)

CROSSREFS

Sequence in context: A072520 A187179 A110941 * A021566 A099290 A103569

Adjacent sequences:  A157287 A157288 A157289 * A157291 A157292 A157293

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 26 2009

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Last modified February 15 10:28 EST 2012. Contains 205763 sequences.