This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A116445 Triangle, row sums = Fibonacci numbers convolved with themselves. 0
 1, 1, 1, 1, 3, 1, 1, 3, 5, 1, 1, 3, 8, 7, 1, 1, 3, 8, 16, 9, 1, 1, 3, 8, 20, 27, 11, 1, 1, 3, 8, 20, 43, 41, 13, 1, 1, 3, 8, 20, 48, 81, 58, 15, 1, 1, 3, 8, 20, 48, 106, 138, 78, 17, 1, 1, 3, 8, 20, 48, 112, 213, 218, 101, 19, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS First few rows of the array are: LINKS FORMULA Create an array by rows: (binomial transforms of 1,0,0,0,...; 1,2,0,0,0...; 1,2,3,0,0,0...; etc.). Antidiagonals of the array become rows of the triangle. EXAMPLE 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,... 1, 3, 5, 7, 9, 11, 13, 15, 17,... 1, 3, 8, 16, 27, 41, 58, 78, 101,... 1, 3, 8, 20, 43, 81, 138, 218,... 1, 3, 8, 20, 48, 106, 213,... 1, 3, 8, 20, 48, 112, 249,... ... Rows converge to A001792, binomial transform of (1,2,3...); and the first few rows of the triangle are: 1 1, 1; 1, 3, 1; 1, 3, 5, 1; 1, 3, 8, 7, 1; 1, 3, 8, 16, 9, 1; 1, 3, 8, 20, 27, 22, 1; ... Row sums are Fibonacci numbers convolved with themselves (A001629: 1, 2, 5, 10, 20, 38, 71, 130, 235, 420...). a(4), a(5), a(6) = 1, 3, 1 = antidiagonals of the array becoming row three of the triangle. CROSSREFS Cf. A001629, A104249. Sequence in context: A218618 A271451 A131248 * A110291 A152027 A077308 Adjacent sequences:  A116442 A116443 A116444 * A116446 A116447 A116448 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Feb 15 2006 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 16 11:12 EDT 2017. Contains 290623 sequences.