This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A099573 Reverse of number triangle A054450. 1
 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 4, 5, 1, 1, 5, 5, 8, 8, 1, 1, 6, 6, 12, 12, 13, 1, 1, 7, 7, 17, 17, 21, 21, 1, 1, 8, 8, 23, 23, 33, 33, 34, 1, 1, 9, 9, 30, 30, 50, 50, 55, 55, 1, 1, 10, 10, 38, 38, 73, 73, 88, 88, 89, 1, 1, 11, 11, 47, 47, 103, 103, 138, 138, 144, 144, 1, 1, 12, 12, 57 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS Row sums are A029907(n+1). Diagonal sums are A099574. Diagonal is A000045(n+1). LINKS FORMULA Number triangle T(n, k)=if(k<=n, sum{j=0..floor(k/2), binomial(n-j, j)}, 0). Antidiagonals of the following array: the first row equals the Fibonacci numbers, (1, 1, 2, 3, 5,...), and the (n+1)-st row is obtained by the matrix-vector product A128174 * n-th row. - Gary W. Adamson, Jan 19 2011 EXAMPLE Rows of the triangle start {1}, {1,1}, {1,1,2}, {1,1,3,3}, {1,1,4,4,5},... First few rows of the array are: 1, 1, 2, 3,. 5, .8,... A000045 1, 1, 3, 4,. 8, 12,... A052952 1, 1, 4, 5,.12, 17,... A054451 1, 1, 5, 6,.17, 23,... A099571 1, 1, 6, 7,.23, 30,... A099572 ... CROSSREFS Cf. A099575, A054450. Sequence in context: A096589 A176427 A324592 * A107430 A255741 A132892 Adjacent sequences:  A099570 A099571 A099572 * A099574 A099575 A099576 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Oct 23 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 October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)