A007657 Maximal coefficient in (x + x^2 + x^4 + x^8 + ...)^n. (Formerly M1705)

1, 2, 6, 36, 270, 2520, 28560, 361200, 5481000, 88565400, 1654052400, 32885455680, 721400359680, 17024709461760, 429108154675200, 11721695953968000, 333806974560259200, 10358856500289897600, 331148326165228091520, 11429645706428485536000, 407641141014720316704000

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: A377533 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