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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; text; internal format)
OFFSET

0,2

COMMENTS

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

REFERENCES

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

Table of n, a(n) for n=0..29.

H. W. Gould, Binomial coefficients, the bracket function and compositions with relatively prime summands, Fib. Quart. 2(4) (1964), 241-260.

FORMULA

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

MATHEMATICA

LinearRecurrence[{-5, -10, -10, -5}, {1, -5, 15, -35}, 30] (* Jean-Fran├žois Alcover, Feb 11 2016 *)

PROG

(PARI) Vec(1/((1+x)^5-x^5) + O(x^40)) \\ Michel Marcus, Feb 11 2016

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.

STATUS

approved

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Last modified December 6 00:38 EST 2016. Contains 278771 sequences.