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Search: id:A000420
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| A000420 |
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Powers of 7.
(Formerly M4431 N1874)
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+0
28
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| 1, 7, 49, 343, 2401, 16807, 117649, 823543, 5764801, 40353607, 282475249, 1977326743, 13841287201, 96889010407, 678223072849, 4747561509943, 33232930569601, 232630513987207, 1628413597910449, 11398895185373143, 79792266297612001, 558545864083284007
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Same as Pisot sequences E(1,7), L(1,7), P(1,7), T(1,7). See A008776 for definitions of Pisot sequences.
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REFERENCES
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
Tanya Khovanova, Recursive Sequences
P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 272
Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
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FORMULA
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a(n) = 7^n; a(n) = 7a(n-1).
G.f.: 1/(1-7x), e.g.f.: exp(7x)
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MAPLE
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A000420:=-1/(-1+7*z); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Adjacent sequences: A000417 A000418 A000419 this_sequence A000421 A000422 A000423
Sequence in context: A124536 A045578 A126627 this_sequence A050737 A033143 A024582
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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