

A194204


a(n) = [Sum_{k=1..n} (k*e/2)], where [ ]=floor, ( )=fractional part.


3



0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 13, 13, 13, 14, 15, 15, 15, 16, 16, 17, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 22, 23, 23, 23, 24, 25, 25, 25, 26, 27, 27, 27, 28, 28, 29, 30, 30, 31, 32, 32, 33, 33, 33, 34, 34, 34, 35, 36
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OFFSET

1,5


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000


MATHEMATICA

r = E/2;
a[n_] := Floor[Sum[FractionalPart[k*r], {k, 1, n}]]
Table[a[n], {n, 1, 90}] (* A194204 *)
s[n_] := Sum[a[k], {k, 1, n}]
Table[s[n], {n, 1, 100}] (* A194205 *)


PROG

(PARI) a(n) = floor(sum(k=1, n, frac(exp(1)*k/2))); \\ Michel Marcus, Nov 12 2017


CROSSREFS

Cf. A194205.
Sequence in context: A026261 A026233 A222422 * A100679 A226190 A195182
Adjacent sequences: A194201 A194202 A194203 * A194205 A194206 A194207


KEYWORD

nonn


AUTHOR

Clark Kimberling, Aug 19 2011


STATUS

approved



