A193016 - OEIS

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A193016

Decimal expansion of the coefficient of x in the reduction of sinh(x) by x^2->x+1.

1, 3, 7, 7, 6, 7, 5, 3, 2, 7, 4, 9, 0, 9, 4, 6, 5, 4, 6, 2, 1, 1, 5, 6, 5, 1, 2, 1, 0, 7, 0, 3, 9, 1, 7, 7, 3, 6, 9, 5, 8, 3, 5, 1, 5, 6, 0, 4, 1, 3, 1, 2, 2, 0, 0, 2, 6, 7, 3, 2, 1, 5, 9, 2, 5, 7, 6, 0, 2, 5, 7, 9, 2, 0, 9, 9, 3, 9, 1, 1, 3, 0, 2, 1, 8, 1, 0, 8, 8, 7, 7, 0, 5, 3, 3, 3, 0, 5, 3, 6

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OFFSET

1,2

COMMENTS

Reduction of a function f(x) by a substitution q(x)->s(x) is introduced at A193010.

LINKS

Table of n, a(n) for n=1..100.

FORMULA

From Amiram Eldar, Jan 18 2022: (Start)

Equals Sum_{k>=0} Fibonacci(2*k+1)/(2*k+1)!.

Equals (e+1)*sinh(sqrt(5)/2)/sqrt(5*e). (End)

EXAMPLE