|
| |
| |
|
|
|
7, 13, 7, -11, -41, -83, -137, -203, -281, -371, -473, -587, -713, -851, -1001, -1163, -1337, -1523, -1721, -1931, -2153, -2387, -2633, -2891, -3161, -3443, -3737, -4043, -4361, -4691, -5033, -5387, -5753, -6131, -6521, -6923, -7337, -7763, -8201, -8651
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| From John Couch Adams multisteps integration of differential equations, 1855.
|
|
|
REFERENCES
| P. Curtz Integration numerique des systemes differentiels..,C.C.S.A., Arcueil,1969,p.36.
|
|
|
LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
|
|
|
FORMULA
| a(n) = 12n+6-A140811(n) = A017593(n)-A140811(n).
Recurrences: a(n) = 2a(n-1)-a(n-2)-12 = 3a(n-1)-3a(n-2)+a(n-3).
First differences: a(n+1)-a(n) = -A017593(n-1), n>0. Second difference are all -12.
a(n+2)-a(n) = -A008606(n).
G.f.: (-7+8*x+11*x^2)/(x-1)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 15 2009
|
|
|
PROG
| (MAGMA) [7+12*n-6*n^2: n in [0..50]]; // Vincenzo Librandi, Aug 07 2011
|
|
|
CROSSREFS
| Sequence in context: A157808 A125741 A103705 * A164929 A081257 A046163
Adjacent sequences: A157514 A157515 A157516 * A157518 A157519 A157520
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Mar 02 2009
|
|
|
EXTENSIONS
| Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 15 2009
|
| |
|
|
