|
| |
|
|
A016209
|
|
Expansion of 1/((1-x)(1-3x)(1-5x)).
|
|
5
| |
|
|
1, 9, 58, 330, 1771, 9219, 47188, 239220, 1205941, 6059229, 30384718, 152189310, 761743711, 3811110039, 19062724648, 95335146600, 476740303081, 2383895225649, 11920057258978, 59602029687090
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| a(n) = A039755(n+2,2).
|
|
|
LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (9,-23,15).
|
|
|
FORMULA
| a(n) =(5^(n+2)-2*3^(n+2)+1)/8 =a(n-1)+A005059(n+1) =8*a(n-1)-15*a(n-2)+1 =(A003463(n+2)-A003462(n+2))/2 - Henry Bottomley (se16(AT)btinternet.com), Jun 06 2000
|
|
|
MAPLE
| A016209 := proc(n) (5^(n+2)-2*3^(n+2)+1)/8; end proc: # R. J. Mathar, Mar 22 2011
|
|
|
MATHEMATICA
| Join[{a=1, b=9}, Table[c=8*b-15*a+1; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Feb 07 2011*)
|
|
|
PROG
| (PARI) a(n)=if(n<0, 0, n+=2; (5^n-2*3^n+1)/8)
(MAGMA) [(5^(n+2)-2*3^(n+2)+1)/8: n in [0..20]]; // Vincenzo Librandi, Sep 17 2011
|
|
|
CROSSREFS
| Cf. A016218, A016208, A000392, A000225, A003462, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A016256.
Sequence in context: A026750 A009034 A026377 * A196920 A129173 A055423
Adjacent sequences: A016206 A016207 A016208 * A016210 A016211 A016212
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
