The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A295633 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A295633

Triangle read by rows: T(n,k) = number of nonequivalent dissections of an n-gon into k polygons by nonintersecting diagonals up to rotation.
(history; published version)

#10 by Alois P. Heinz at Sun Jan 14 18:18:55 EST 2018

STATUS

proposed

approved

#9 by Andrew Howroyd at Sun Jan 14 18:11:30 EST 2018

STATUS

editing

proposed

#8 by Andrew Howroyd at Sun Jan 14 14:32:22 EST 2018

LINKS

Andrew Howroyd, <a href="/A295633/b295633.txt">Table of n, a(n) for n = 3..1277</a>

STATUS

approved

editing

#7 by Susanna Cuyler at Fri Nov 24 23:15:03 EST 2017

STATUS

proposed

approved

#6 by Andrew Howroyd at Fri Nov 24 22:23:52 EST 2017

STATUS

editing

proposed

#5 by Andrew Howroyd at Fri Nov 24 22:23:46 EST 2017

DATA

1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 8, 12, 6, 1, 3, 16, 40, 43, 19, 1, 3, 25, 93, 165, 143, 49, 1, 4, 40, 197, 505, 712, 504, 150, 1, 4, 56, 364, 1274, 2548, 2912, 1768, 442, 1, 5, 80, 646, 2878, 7672, 12400, 11976, 6310, 1424, 1, 5, 105, 1050, 5880, 19992, 42840, 58140, 48450, 22610, 4522

#4 by Andrew Howroyd at Fri Nov 24 22:12:26 EST 2017

EXAMPLE

Triangle begins: (n >= 3, k >= 1)

#3 by Andrew Howroyd at Fri Nov 24 22:11:13 EST 2017

PROG

(PARI) \\ See A295495 for DissectionsModCyclic()

T=DissectionsModCyclic(apply(i->y, [1..12]));

for(n=3, #T, for(k=1, n-2, print1(polcoeff(T[n], k), ", ")); print)

CROSSREFS

Row sums are A003455.

Column k=3 is A003451.

Diagonals include A001683, A220881, A003445, A220882.

Cf. A295224, A295495, A295634.

#2 by Andrew Howroyd at Fri Nov 24 20:42:59 EST 2017

NAME

allocated for Andrew HowroydTriangle read by rows: T(n,k) = number of nonequivalent dissections of an n-gon into k polygons by nonintersecting diagonals up to rotation.

DATA

OFFSET

3,8

EXAMPLE

Triangle begins: (n>=3, k>=1)

1;

1, 1;

1, 1, 1;

1, 2, 4, 4;

1, 2, 8, 12, 6;

1, 3, 16, 40, 43, 19;

1, 3, 25, 93, 165, 143, 49;

1, 4, 40, 197, 505, 712, 504, 150;

1, 4, 56, 364, 1274, 2548, 2912, 1768, 442;

...

KEYWORD

allocated

nonn,tabl

AUTHOR

Andrew Howroyd, Nov 24 2017

STATUS

approved

editing

#1 by Andrew Howroyd at Fri Nov 24 20:42:59 EST 2017

NAME

allocated for Andrew Howroyd

KEYWORD

allocated

STATUS

approved