A226771 - OEIS

A226771

Decimal representation of continued fraction [1*2/2, 2*3/2, 3*4/2, 4*5/2,...], whose elements are the triangular numbers (A000217).

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

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

OFFSET

1,2

COMMENTS

1.316060403659077164259816962579... = [1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120,...]

LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..1000

MAPLE

with(numtheory); A226771:=proc(q) local a, n; a:=(q+1)*(q+2)/2;

for n from q by -1 to 1 do a:=1/a+n*(n+1)/2; od;

print(evalf(a, 1001)); end: A226771(10^4);

MATHEMATICA