login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A098356 Multiplication table of the Fibonacci numbers read by antidiagonals. 2
0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 3, 2, 2, 3, 0, 0, 5, 3, 4, 3, 5, 0, 0, 8, 5, 6, 6, 5, 8, 0, 0, 13, 8, 10, 9, 10, 8, 13, 0, 0, 21, 13, 16, 15, 15, 16, 13, 21, 0, 0, 34, 21, 26, 24, 25, 24, 26, 21, 34, 0, 0, 55, 34, 42, 39, 40, 40, 39, 42, 34, 55, 0, 0, 89, 55, 68, 63, 65, 64, 65 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,12

COMMENTS

Same as triangle T(n,k) = F(n)-F(k)*F(n-k+1), read by rows, F(i) = A000045(i). - Dale Gerdemann, Apr 24 2016

LINKS

Michael De Vlieger, Table of n, a(n) for n = 0..11324 (rows 0 <= n <= 149, flattened)

FORMULA

T(n,k) = T(k,n) = A000045(n)*A000045(k) = A143211(n,k). - R. J. Mathar, Dec 11 2020

EXAMPLE

Table begins:

   0   0   0   0   0   0   0   0   0 ...

   0   1   1   2   3   5   8  13  21...

   0   1   1   2   3   5   8  13  21...

   0   2   2   4   6  10  16  26  42...

   0   3   3   6   9  15  24  39  63...

   0   5   5  10  15  25  40  65 105...

   0   8   8  16  24  40  64 104 168...

   0  13  13  26  39  65 104 169 273...

   0  21  21  42  63 105 168 273 441...

MATHEMATICA

Table[Fibonacci[n] - Fibonacci[k]*Fibonacci[n - k + 1], {n, 13}, {k, n}] // Flatten (* Michael De Vlieger, Dec 11 2020 *)

CROSSREFS

Cf. A003991, A058071, A001629 (antidiagonal sums).

Sequence in context: A236533 A298187 A298183 * A298167 A298957 A298902

Adjacent sequences:  A098353 A098354 A098355 * A098357 A098358 A098359

KEYWORD

nonn,tabl,easy

AUTHOR

Douglas Stones (dssto1(AT)student.monash.edu.au), Sep 04 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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 18 17:28 EDT 2021. Contains 343996 sequences. (Running on oeis4.)