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A194144 Sum{floor(j*(-1+sqrt(5))) : 1<=j<=n}; n-th partial sum of Beatty sequence for -1+sqrt(5). 0
1, 3, 6, 10, 16, 23, 31, 40, 51, 63, 76, 90, 106, 123, 141, 160, 181, 203, 226, 250, 275, 302, 330, 359, 389, 421, 454, 488, 523, 560, 598, 637, 677, 719, 762, 806, 851, 897, 945, 994, 1044, 1095, 1148, 1202, 1257, 1313, 1371, 1430, 1490, 1551, 1614 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
MATHEMATICA
c[n_] := Sum[Floor[j*(-1+Sqrt[5])], {j, 1, n}];
c = Table[c[n], {n, 1, 90}]
CROSSREFS
Cf. A001961 (Beatty sequence for -1+sqrt(5)).
Sequence in context: A049697 A111712 A293407 * A330133 A025701 A025744
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 17 2011
STATUS
approved

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Last modified February 29 11:59 EST 2024. Contains 370425 sequences. (Running on oeis4.)