A248945 Decimal expansion of Sum_{n >= 1} (sin(1/n))^2.

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

Offset

1,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 1..500

Steve Chow, You did this wrong #Calc2Final, blackpenredpen video (2018)

Example

1.32632440526665343354940377814268899683113371082571889555566414244...

Maple

evalf(sum((sin(1/n))^2, n=1..infinity), 120); # Vaclav Kotesovec, Oct 20 2014

Mathematica

(* N[Sum[Sin[1/n]^2, {n, 1, Infinity}], 120], yields only 26 correct decimals, N[Sum[Sin[1/n]^2, {n, 1, 10000}], 120], yields only 7 correct decimals! *)

Prog

(PARI) default(realprecision, 150); sumpos(n=1, (sin(1/n))^2) \\ Vaclav Kotesovec, Oct 20 2014

Crossrefs

Cf. A248946, A248947, A248949.

Sequence in context: A077880 A198930 A263353 * A131969 A058971 A186204

Adjacent sequences: A248942 A248943 A248944 * A248946 A248947 A248948

Keyword

nonn,easy,cons

Author

Clark Kimberling, Oct 18 2014

Status

approved