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A177812 Triangular array read by rows: binomial(n,k^2), k=0..floor(sqrt(n)). 0
1, 1, 1, 1, 2, 1, 3, 1, 4, 1, 1, 5, 5, 1, 6, 15, 1, 7, 35, 1, 8, 70, 1, 9, 126, 1, 1, 10, 210, 10, 1, 11, 330, 55, 1, 12, 495, 220, 1, 13, 715, 715, 1, 14, 1001, 2002, 1, 15, 1365, 5005, 1, 16, 1820, 11440, 1, 1, 17, 2380, 24310, 17, 1, 18, 3060, 48620, 153 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are A003099.

LINKS

Table of n, a(n) for n=0..64.

EXAMPLE

{1},

{1, 1},

{1, 2},

{1, 3},

{1, 4, 1},

{1, 5, 5},

{1, 6, 15},

{1, 7, 35},

{1, 8, 70},

{1, 9, 126, 1},

{1, 10, 210, 10}

MATHEMATICA

Clear[t, n, m];

t[n_, m_] = Binomial[n, m^2];

Table[Table[t[n, m], {m, 0, Floor[Sqrt[n]]}], {n, 0, 10}];

Flatten[%]

PROG

(PARI) tabf(nn) = {for (n = 0, nn, for (k = 0, sqrtint(n), print1(binomial(n, k^2), ", "); ); print(); ); } \\ Michel Marcus, Feb 13 2014

CROSSREFS

Cf. A003099.

Sequence in context: A226248 A102547 A305556 * A280504 A087267 A128267

Adjacent sequences:  A177809 A177810 A177811 * A177813 A177814 A177815

KEYWORD

nonn,tabf

AUTHOR

Roger L. Bagula, Dec 13 2010

EXTENSIONS

Clarified definition, changed keyword to tabf. - N. J. A. Sloane, Dec 16 2010

More terms from Michel Marcus, Feb 13 2014

STATUS

approved

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Last modified September 26 23:42 EDT 2021. Contains 347673 sequences. (Running on oeis4.)