A073448 -id:A073448 - cp's OEIS frontend

A117044 Decimal expansion of (cos 1)^(-5)=(sec(1))^5.

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

Offset: 2

Mohammad K. Azarian, Apr 16 2006

By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019

			21.717803282186728014173395240430771671432594733735803352248605645348....

Index entries for transcendental numbers

Cf. A049470, A073448.

cos(1)^-5 \\ Charles R Greathouse IV, May 13 2019

A384932 Decimal expansion of tan(1) + sec(1).

Original entry on oeis.org

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

Offset: 1

Kritsada Moomuang, Jun 12 2025

The continued fraction expansion of this constant - 1 is A133265.

			3.408223442335827848481...

Cf. A049471, A073448, A133265, A248617.

RealDigits[Tan[1] + Sec[1], 10, 100, 0][[1]]

tan(1) + 1/cos(1) \\ Amiram Eldar, Jun 13 2025

Equals A049471 + A073448.
Equals 4 + Integral_{x=0..1} sin(x)/(sin(x) - 1) dx.
Equals exp(Integral_{x=0..1} sec(x) dx).
Equals exp(A248617). - Hugo Pfoertner, Jun 13 2025

cp's OEIS Frontend

A117044 Decimal expansion of (cos 1)^(-5)=(sec(1))^5.

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