The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A099233 Square array read by antidiagonals associated to sections of 1/(1-x-x^k). 5
 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 6, 5, 1, 1, 1, 5, 10, 13, 8, 1, 1, 1, 6, 15, 26, 28, 13, 1, 1, 1, 7, 21, 45, 69, 60, 21, 1, 1, 1, 8, 28, 71, 140, 181, 129, 34, 1, 1, 1, 9, 36, 105, 251, 431, 476, 277, 55, 1, 1, 1, 10, 45, 148, 413, 882, 1326, 1252, 595, 89, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Sums of antidiagonals are A099236. Main diagonal is A099237. Rows include A000045, A002478, A099234, A099235. Columns include A000217, A008778. LINKS FORMULA Square array T(n, k) = Sum_{j=0..n} binomial(k(n-j), j). Rows are generated by 1/(1-x(1+x)^k) and satisfy a(n) = Sum_{k=0..n} binomial(n, k)a(n-k-1). EXAMPLE Rows begin   1,   1,   1,   1,   1,   1, ...   1,   1,   2,   3,   5,   8, ...   1,   1,   3,   6,  13,  28, ...   1,   1,   4,  10,  26,  69, ...   1,   1,   5,  15,  45, 140, ... Row 1 is the 0-section of 1/(1-x-x)   (A000079); Row 2 is the 1-section of 1/(1-x-x^2) (A000045); Row 3 is the 2-section of 1/(1-x-x^3) (A000930); Row 4 is the 3-section of 1/(1-x-x^4) (A003269); etc. CROSSREFS Cf. A099238. Sequence in context: A047120 A096751 A293551 * A303912 A133815 A305027 Adjacent sequences:  A099230 A099231 A099232 * A099234 A099235 A099236 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Oct 08 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 22 01:28 EST 2022. Contains 350481 sequences. (Running on oeis4.)