A193080 - OEIS

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A193080

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

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

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} 2^(2*k+1)*Fibonacci(2*k+1)/(2*k+1)!.

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

EXAMPLE