|
Search: id:A003143
|
|
|
| A003143 |
|
a(2n) = [ 17*2^n /14 ], a(2n+1) = [ 12*2^n /7 ].
(Formerly M0570)
|
|
+0
1
|
|
| 1, 1, 2, 3, 4, 6, 9, 13, 19, 27, 38, 54, 77, 109, 155, 219, 310, 438, 621, 877, 1243, 1755, 2486, 3510, 4973, 7021, 9947, 14043, 19894, 28086, 39789, 56173, 79579, 112347, 159158, 224694, 318317, 449389, 636635, 898779, 1273270, 1797558
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
REFERENCES
|
D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, Vol. 3, p. 207.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
LINKS
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
|
|
MAPLE
|
A003143:=(1+z**3-z**4+z**5-z**6+z**7)/((z-1)*(z**2-z+1)*(z**2+z+1)*(2*z**2-1)); [Conjectured (correctly) by S. Plouffe in his 1992 dissertation.]
|
|
PROGRAM
|
(PARI) a(n)=(17+7*(n%2))*2^(n\2)\14
|
|
CROSSREFS
|
Sequence in context: A017824 A094054 A001521 this_sequence A017983 A139077 A017825
Adjacent sequences: A003140 A003141 A003142 this_sequence A003144 A003145 A003146
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Michael Somos, May 04 2000
|
|
|
Search completed in 0.002 seconds
|
