|
| |
|
|
A000383
|
|
Hexanacci numbers.
(Formerly M4088 N1697)
|
|
18
| |
|
|
1, 1, 1, 1, 1, 1, 6, 11, 21, 41, 81, 161, 321, 636, 1261, 2501, 4961, 9841, 19521, 38721, 76806, 152351, 302201, 599441, 1189041, 2358561, 4678401, 9279996, 18407641, 36513081, 72426721, 143664401, 284970241, 565262081, 1121244166, 2224080691, 4411648301
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,7
|
|
|
REFERENCES
| B. G. Baumgart, Letter to the editor, Fib. Quart. 2 (1964), 260, 302.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
| T. D. Noe, Table of n, a(n) for n=0..200
Joerg Arndt, Fxtbook
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.
Index to sequences with linear recurrences with constant coefficients, signature (1,1,1,1,1,1).
|
|
|
FORMULA
| G.f. ( -1+x^2+2*x^3+3*x^4+4*x^5 ) / ( -1+x+x^2+x^3+x^4+x^5+x^6 ). - R. J. Mathar, Oct 11 2011
|
|
|
MAPLE
| A000383:=(-1+z**2+2*z**3+3*z**4+4*z**5)/(-1+z**2+z**3+z**4+z**5+z+z**6); [S. Plouffe in his 1992 dissertation.]
a:= n-> (Matrix([[1$6]]). Matrix(6, (i, j)-> if (i=j-1) or j=1 then 1 else 0 fi)^n)[1, 6]: seq (a(n), n=0..28); # Alois P. Heinz, Aug 26 2008
|
|
|
CROSSREFS
| Cf. A060455.
Sequence in context: A021011 A000382 A192750 * A205540 A083575 A170880
Adjacent sequences: A000380 A000381 A000382 * A000384 A000385 A000386
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
