A222482 Engel expansion of cos(1)/(1+cos(1)).

3, 20, 22, 40, 68, 248, 7163, 28663, 50059, 64574, 638169, 761733, 2537764, 2925739, 3363073, 4977902, 5646039, 57212854, 159650555, 219684539, 453524713, 459239955, 2002180165, 3234082460, 14965375439, 50298730245, 89316768769, 464076054936, 520232391320

Offset

1,1

Comments

Cf. A006784 for definition of Engel expansion.

Links

Table of n, a(n) for n=1..29.

Eric Weisstein's World of Mathematics, Engel Expansion

Wikipedia, Engel Expansion

Index entries for sequences related to Engel expansions

Formula

cos(1)/(1+cos(1)) = 1/(1+1/cos(1)) = 1/(1+sec(1)).

Example

0.35077679479523758155811675...

Maple

Digits:= 1000:
b:= evalf(1/(1+1/cos(1))):  engel:= (r, n)-> `if`(n=0 or r=0, NULL, [ceil(1/r), engel(r*ceil(1/r)-1, n-1)][]):
engel(b, 39);

Crossrefs

Cf. A222480 (decimal expansion), A222481 (continued fraction), A049470 (cos(1)), A073448 (1/cos(1)).

Sequence in context: A081849 A333667 A169642 * A022129 A308721 A053748

Adjacent sequences: A222479 A222480 A222481 * A222483 A222484 A222485

Keyword

nonn

Author

Alois P. Heinz, Feb 21 2013

Status

approved