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A112989 Terms in A006899 which are closer to the next term than to the previous one. 0
8, 27, 64, 243, 512, 2048, 6561, 16384, 59049, 131072, 524288, 1594323, 4194304, 14348907, 33554432, 129140163, 268435456, 1073741824, 3486784401, 8589934592, 31381059609, 68719476736, 274877906944, 847288609443, 2199023255552 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Next terms are: 17592186044416, 68630377364883, 140737488355328, 562949953421312, 1853020188851841, 4503599627370496, 16677181699666569, 36028797018963968, 144115188075855872, 450283905890997363, 1152921504606846976. Is the sequence infinite? Cf. A006899 Numbers of the form 2^i or 3^j.

FORMULA

A006899(n) - A006899(n-1) > A006899(n+1) - A006899(n)

MATHEMATICA

un=Union[Flatten[Table[{2^n, 3^n}, {n, 60}]]]; Do[If[un[[i]]-un[[i-1]]>un[[i+1]]-un[[i]], Print[un[[i]]]], {i, 2, Length[un]-1}]

CROSSREFS

Cf. A006899.

Sequence in context: A050462 A112662 A121652 * A018832 A030293 A030479

Adjacent sequences:  A112986 A112987 A112988 * A112990 A112991 A112992

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Jan 03 2006

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.