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A099238 Square array read by anti-diagonals with rows generated by 1/(1-x-x^(k+1)). 4
1, 1, 2, 1, 1, 4, 1, 1, 2, 8, 1, 1, 1, 3, 16, 1, 1, 1, 2, 5, 32, 1, 1, 1, 1, 3, 8, 64, 1, 1, 1, 1, 2, 4, 13, 128, 1, 1, 1, 1, 1, 3, 6, 21, 256, 1, 1, 1, 1, 1, 2, 4, 9, 34, 512, 1, 1, 1, 1, 1, 1, 3, 5, 13, 55, 1024, 1, 1, 1, 1, 1, 1, 2, 4, 7, 19, 89, 2048 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Sections of rows are given by array A099233. Sums of anti-diagonals yield A097939.

LINKS

Table of n, a(n) for n=0..77.

FORMULA

Square array T(n, k)=sum{j=0..floor(n/(k+1)), binomial(n-k*j, j)}, n, k>=0.

EXAMPLE

Rows begin

1,2,4,8,16,32,.. (A000079)

1,1,2,3,5,8,13,... (A000045)

1,1,1,2,3,4,6,9,... (A000930)

1,1,1,1,2,3,4,5,7,.. (A003269)

1,1,1,1,1,2,3,4,5,.. (A003520)

CROSSREFS

Sequence in context: A249694 A192005 A205592 * A141450 A209690 A061462

Adjacent sequences:  A099235 A099236 A099237 * A099239 A099240 A099241

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Oct 08 2004

STATUS

approved

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Last modified November 26 19:05 EST 2014. Contains 250103 sequences.