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A211785 Rectangular array:  R(n,k)=n^3+[(n^3)/2)]+...+[(n^3)/k], where [ ]=floor, by antidiagonals. 1
1, 8, 1, 27, 12, 1, 64, 40, 14, 1, 125, 96, 49, 16, 1, 216, 187, 117, 55, 17, 1, 343, 324, 228, 133, 60, 18, 1, 512, 514, 396, 259, 145, 64, 19, 1, 729, 768, 628, 450, 284, 155, 67, 20, 1, 1000, 1093, 938, 713, 493, 304, 164, 70, 20, 1, 1331, 1500, 1336 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For n>=1, row n is a homogeneous linear recurrence sequence with palindromic recurrence coefficients in the sense described at A211701.

LINKS

Table of n, a(n) for n=1..58.

EXAMPLE

Northwest corner:

1...8....27...64....125...216...343

1...12...40...96....187...324...514

1...14...49...117...228...396...628

1...16...55...133...259...450...713

1...17...60...145...284...493...781

1...18...64...155...304...529...838

MATHEMATICA

f[n_, m_] := Sum[Floor[n^3/k], {k, 1, m}]

TableForm[Table[f[n, m], {m, 1, 40}, {n, 1, 16}]]

Flatten[Table[f[n + 1 - m, m], {n, 1, 14}, {m, 1, n}]]

CROSSREFS

Cf. A211701

Sequence in context: A002173 A050458 A125166 * A075155 A075151 A028943

Adjacent sequences:  A211782 A211783 A211784 * A211786 A211787 A211788

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Apr 20 2012

STATUS

approved

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Last modified February 26 02:19 EST 2020. Contains 332270 sequences. (Running on oeis4.)