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A114105
The sum of the next n terms of A114103.
3
1, 8, 33, 92, 265, 384, 1057, 1384, 2475, 3160, 6721, 5556, 13273, 12656, 16545, 21904, 39457, 29664, 61921, 46220, 66381, 80608, 134113, 86712, 162825, 159224, 199395, 185444, 341881, 198480, 447361, 349728, 423093, 473416, 553105, 434844
OFFSET
1,2
MAPLE
A000217 := proc(n) n*(n+1)/2 ; end: A114103 := proc(n, k) lcm(n, A000217(n-1)+k) ; end: A114105 := proc(n) add( A114103(n, k), k=1..n) ; end: for n from 1 to 80 do printf("%d, ", A114105(n)) ; od ; # R. J. Mathar, May 10 2007
MATHEMATICA
rows = 8;
nmax = rows (rows + 1)/2;
a[n_] := Sum[LCM[n, n (n - 1)/2 + k], {k, 1, n}];
Table[a[n], {n, 1, nmax}] (* Jean-François Alcover, May 23 2024, after Ivan Neretin in A114103 *)
CROSSREFS
Sequence in context: A212133 A212574 A210698 * A316148 A014820 A070736
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Nov 21 2005
EXTENSIONS
Corrected and extended by Matthew Ohlsen (mjo178(AT)psu.edu), Feb 26 2006
More terms from R. J. Mathar, May 10 2007
STATUS
approved