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A385453
Decimal expansion of 6*Sum_{k>=0} (-1)^k/(k! (k + 3)! 2^k).
0
8, 8, 1, 0, 7, 9, 4, 5, 0, 6, 9, 1, 0, 9, 2, 1, 8, 9, 8, 9, 0, 5, 3, 7, 0, 0, 5, 8, 6, 7, 8, 5, 7, 9, 4, 9, 3, 9, 7, 4, 9, 2, 0, 9, 3, 1, 6, 4, 8, 1, 2, 7, 0, 3, 3, 7, 5, 4, 5, 0, 0, 7, 7, 3, 5, 3, 0, 0, 0, 1, 3, 6, 1, 8, 6, 3, 2, 1, 9, 7, 8, 8, 3, 5, 8, 4, 6, 7, 3, 9, 3, 9, 1, 7, 9, 1, 5, 7, 4, 9, 7, 3, 1, 6, 5
OFFSET
0,1
FORMULA
Equals Hypergeometric0F1(4, -1/2).
Equals 12 * sqrt(2) * BesselJ(3, sqrt(2)).
EXAMPLE
0.881079450691092189890537005867857949397...
MATHEMATICA
RealDigits[Hypergeometric0F1[4, -1/2], 10, 105][[1]]
PROG
(PARI) sqrt(288)*besselj(3, sqrt(2)) \\ Charles R Greathouse IV, Jul 27 2026
CROSSREFS
Cf. A334383.
Sequence in context: A069527 A154492 A324686 * A387986 A155840 A373657
KEYWORD
cons,nonn
AUTHOR
Artur Jasinski, Jun 29 2025
STATUS
approved