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A194137 a(n) = Sum_{j=1..n} floor(j*sqrt(6)); n-th partial sum of Beatty sequence for sqrt(6). 1
2, 6, 13, 22, 34, 48, 65, 84, 106, 130, 156, 185, 216, 250, 286, 325, 366, 410, 456, 504, 555, 608, 664, 722, 783, 846, 912, 980, 1051, 1124, 1199, 1277, 1357, 1440, 1525, 1613, 1703, 1796, 1891, 1988, 2088, 2190, 2295, 2402, 2512, 2624, 2739, 2856 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..48.

MATHEMATICA

c[n_] := Sum[Floor[j*Sqrt[6]], {j, 1, n}];

c = Table[c[n], {n, 1, 90}]

PROG

(Python)

from sympy import integer_nthroot

def A194137(n): return sum(integer_nthroot(6*j**2, 2)[0] for j in range(1, n+1)) # Chai Wah Wu, Mar 17 2021

CROSSREFS

Cf. A022840 (Beatty sequence for sqrt(6)).

Sequence in context: A267874 A194143 A194138 * A226292 A026052 A049616

Adjacent sequences:  A194134 A194135 A194136 * A194138 A194139 A194140

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 17 2011

STATUS

approved

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Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)