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A098821 a(n) = (n-2) * 2^(n-1) + 5 +0
1
4, 4, 5, 9, 21, 53, 133, 325, 773, 1797, 4101, 9221, 20485, 45061, 98309, 212997, 458757, 983045, 2097157, 4456453, 9437189, 19922949, 41943045, 88080389, 184549381, 385875973, 805306373, 1677721605, 3489660933, 7247757317 (list; graph; listen)
OFFSET

0,1

REFERENCES

G. H. Hardy and J. E. Littlewood, "Some problems of partitio numerorum (VI): Further researches in Waring's Problem", Math. Z. vol. 23, 1-37, (1925)

T. D. Wooley, "Large improvements in Waring's Problem", Ann. Math. vol. 135, 131-164 (1992)

Eric Weisstein, "Waring's problem"

EXAMPLE

a(5) = 3*2^4 + 5 = 53

MATHEMATICA

Table[(n - 2)*2^(n - 1) + 5, {n, 0, 30}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 06 2006

CROSSREFS

Cf. A018889, A002804.

Adjacent sequences: A098818 A098819 A098820 this_sequence A098822 A098823 A098824

Sequence in context: A072231 A096641 A107851 this_sequence A084458 A110356 A086171

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Oct 08 2004

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 06 2006

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.


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