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A378132
Decimal expansion of L^4/15, where L is the lemniscate constant (A062539).
4
3, 1, 5, 1, 2, 1, 2, 0, 0, 2, 1, 5, 3, 8, 9, 7, 5, 3, 8, 2, 1, 7, 6, 8, 9, 9, 4, 2, 2, 4, 8, 6, 8, 8, 5, 5, 6, 6, 4, 5, 5, 1, 9, 3, 5, 4, 5, 1, 4, 8, 5, 2, 4, 3, 8, 4, 7, 0, 5, 4, 0, 3, 5, 7, 3, 8, 4, 2, 5, 9, 8, 3, 7, 6, 8, 2, 7, 4, 6, 1, 2, 1, 6, 1, 0, 8, 6, 9, 4, 3
OFFSET
1,1
FORMULA
Equals Pi^6/(60*Gamma(3/4)^8) = A092732/(60*A068465^8).
Equals Sum_{z is a Gaussian integer != 0} 1/z^4.
Equals G_4(i), where G_4 is the Eisenstein series of weight ⁠4.
EXAMPLE
3.15121200215389753821768994224868855664551935451...
MATHEMATICA
First[RealDigits[Pi^6/(60*Gamma[3/4]^8), 10, 100]]
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Nov 18 2024
STATUS
approved