|
Search: id:A099731
|
|
|
| A099731 |
|
This table shows the coefficients of sum formulae of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2*n+1+(-1)^(n-1)]/4 and T(i,k) satisfies F(n)= Sum_{i=1..k} T(i,k) * n^(k-i)/(k-1)!. |
|
+0
16
|
|
| 1, 1, -1, 1, -5, 10, 1, -12, 59, -90, 1, -22, 203, -830, 1320, 1, -35, 525, -3985, 15374, -23640, 1, -51, 1135, -13665, 93544, -342324, 523440, 1, -70, 2170, -37870, 399889, -2542540, 8997540, -13633200, 1, -92, 3794, -90440, 1356929, -13076588, 78896236, -271996080, 409852800, 1, -117, 6198, -193410
(list; table; graph; listen)
|
|
|
OFFSET
|
1,5
|
|
|
LINKS
|
A. F. Labossiere, Sobalian Coefficients.
A. F. Labossiere, Miscellaneous.
|
|
EXAMPLE
|
F(13)=233; substituting n=13 in the formula of the k-th row we obtain k=7 and the coefficients
T(i,7) will be the following: 1,-51,1135,-13665,93544,-342324,523440,
=> F(13) = [13^6-51*13^5+1135*13^4-13665*13^3+93544*13^2-342324*13+523440]/6! = 233.
|
|
CROSSREFS
|
Cf. A000045, A094638.
Sequence in context: A101683 A098135 A112259 this_sequence A091306 A073048 A102258
Adjacent sequences: A099728 A099729 A099730 this_sequence A099732 A099733 A099734
|
|
KEYWORD
|
sign,tabl
|
|
AUTHOR
|
Andre F. Labossiere (boronali(AT)laposte.net), Nov 08 2004
|
|
|
Search completed in 0.002 seconds
|
