login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A000750 Expansion of bracket function.
(Formerly M3851 N1576)
6
1, -5, 15, -35, 70, -125, 200, -275, 275, 0, -1000, 3625, -9500, 21250, -42500, 76875, -124375, 171875, -171875, 0, 621875, -2250000, 5890625, -13171875, 26343750, -47656250, 77109375, -106562500, 106562500, 0 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

It appears that the (unsigned) sequence is identical to its 5th order absolute difference. - John W. Layman (layman(AT)math.vt.edu), Sep 23 2003

REFERENCES

H. W. Gould, Binomial coefficients, the bracket function and compositions with relatively prime summands, Fib. Quart. 2 (1964), 241-260.

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).

FORMULA

G.f.: 1/((1+x)^5-x^5).

CROSSREFS

Cf. A000748, A000749, A001659, A006090, A049016.

Sequence in context: A069983 A005894 A015622 * A008487 A000743 A138779

Adjacent sequences:  A000747 A000748 A000749 * A000751 A000752 A000753

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 14 17:10 EST 2012. Contains 205644 sequences.