A049797 - OEIS

A049797

a(n) = Sum_{k = 2..n} T(n,k), array T as in A049800.

0, 0, 0, 2, 0, 4, 4, 4, 6, 14, 4, 14, 20, 16, 16, 30, 22, 38, 32, 30, 44, 64, 38, 50, 68, 68, 66, 92, 66, 94, 94, 96, 122, 130, 90, 124, 154, 158, 136, 174, 148, 188, 194, 172, 210, 254, 196, 228, 240, 248, 258, 308, 282, 302, 284

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OFFSET

1,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

MAPLE

seq(add((n+1) mod floor((k+1)/2), k = 3..n), n = 1..60);

MATHEMATICA

Table[Sum[Mod[n+1, Floor[(k+1)/2]], {k, 3, n}], {n, 60}] (* G. C. Greubel, Dec 09 2019 *)

PROG

(PARI) vector(60, n, sum(k=3, n, (n+1)%((k+1)\2)) ) \\ G. C. Greubel, Dec 09 2019

(Magma) [0, 0] cat [ (&+[(n+1) mod Floor((k+1)/2): k in [3..n]]): n in [3..60]]; // G. C. Greubel, Dec 09 2019

(Sage) [sum( (n+1)%floor((k+1)/2) for k in (3..n)) for n in (1..60)] # G. C. Greubel, Dec 09 2019

(GAP) List([1..60], n-> Sum([3..n], k-> (n+1) mod Int((k+1)/2)) ); # G. C. Greubel, Dec 09 2019

CROSSREFS

Cf. A049800.

Sequence in context: A300328 A365382 A200291 * A116578 A078050 A134271

Adjacent sequences: A049794 A049795 A049796 * A049798 A049799 A049800

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved