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A177815 Triangle read by rows: binomial(n,floor(m^(1/3))). 0
1, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 1, 9, 9, 1, 10, 45, 1, 11, 165, 1, 12, 495, 1, 13, 1287, 1, 14, 3003, 1, 15, 6435, 1, 16, 12870, 1, 17, 24310, 1, 18, 43758, 1, 19, 75582, 1, 20, 125970 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are: {1, 2, 3, 4, 5, 6, 7, 8, 10, 19, 56, 177, 508, 1301, 3018, 6451, 12887,

24328, 43777, 75602, 125991,...}.

First cubic polynomial is:{1, 27, 2220075, 1} - unclear comment!

LINKS

Table of n, a(n) for n=0..53.

EXAMPLE

{1},

{1, 1},

{1, 2},

{1, 3},

{1, 4},

{1, 5},

{1, 6},

{1, 7},

{1, 8, 1},

{1, 9, 9},

{1, 10, 45},

{1, 11, 165},

{1, 12, 495},

{1, 13, 1287},

{1, 14, 3003},

{1, 15, 6435},

{1, 16, 12870},

{1, 17, 24310},

{1, 18, 43758},

{1, 19, 75582},

{1, 20, 125970},

...

{1, 27, 2220075, 1}

MATHEMATICA

Clear[t, n, m];

t[n_, m_] = Binomial[n, m^3];

Table[Table[t[n, m], {m, 0, Floor[n^(1/3)]}], {n, 0, 20}];

Flatten[%]

CROSSREFS

Cf. A003099,A181543

Sequence in context: A322313 A322315 A319338 * A007879 A057979 A152271

Adjacent sequences:  A177812 A177813 A177814 * A177816 A177817 A177818

KEYWORD

nonn,tabf

AUTHOR

Roger L. Bagula, Dec 13 2010

STATUS

approved

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Last modified July 24 04:25 EDT 2021. Contains 346273 sequences. (Running on oeis4.)