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A007657 Maximal coefficient in (x + x^2 + x^4 + x^8 + ...)^n.
(Formerly M1705)
0
1, 2, 6, 36, 270, 2520, 28560, 361200, 5481000, 88565400, 1654052400, 32885455680, 721400359680, 17024709461760, 429108154675200, 11721695953968000, 333806974560259200, 10358856500289897600, 331148326165228091520, 11429645706428485536000, 407641141014720316704000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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=1..21.

S. Lehr, J. Shallit and J. Tromp, On the vector space of the automatic reals, Theoret. Comput. Sci. 163 (1996), no. 1-2, 193-210.

G. Molteni, Cancellation in a short exponential sum, J. Number Theory 130 (2010), no. 9, 2011-2027.

CROSSREFS

Sequence in context: A162697 A107099 A143021 * A234235 A277740 A277393

Adjacent sequences:  A007654 A007655 A007656 * A007658 A007659 A007660

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

a(15)-a(21) from Max Alekseyev, May 03 2011

STATUS

approved

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Last modified June 17 22:17 EDT 2019. Contains 324200 sequences. (Running on oeis4.)