A367454 Decimal expansion of (-1 + sqrt(29))/14 = 1/A223140.

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

Offset

0,1

Comments

c^n = 7*A(-(n+1)) + A(-n)*phi29, for n >= 0, where phi29 = A223140, and A(-n) = A015442(-n) = sqrt(-7)^(-(n+1))*S(-(n+1), 1/sqrt(-7)) = -(i/sqrt(7))^(n+1)*S(n-1, i/sqrt(7)), with i = sqrt(-1) and the S-Chebyshev polynomials (see A049310), where S(-n, x) = -S(n-2, x), for n >= 1, and S(n, -x) = (-1)^n*S(n, x).

Links

Table of n, a(n) for n=0..95.

Index entries for sequences related to Chebyshev polynomials.

Formula

c = 1/phi29 = (-1 + phi(29))/7, with phi29 = A223140.

Example

c = 0.3132260576524645736607650351100235397353657258317706312628...

Mathematica

Flatten[First[RealDigits[(-1 + Sqrt[29])/14, 10, 96]]] (* Stefano Spezia, Jan 05 2024 *)

Crossrefs

Cf. A010484, A015442, A049310, A223140.

Sequence in context: A347739 A352931 A083208 * A126682 A016571 A055189

Adjacent sequences: A367451 A367452 A367453 * A367455 A367456 A367457

Keyword

nonn,cons,easy

Author

Wolfdieter Lang, Jan 05 2024

Status

approved