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A232361 Peak values in A232221. 3

%I #15 Sep 23 2015 09:38:40

%S 590868,586496,392956,392612,369532,371872,348760,92820,98000,97424,

%T 268428,7855172,11351516,12763068,12778820,12778872,12778940,14485860,

%U 16971756,16976632,17062548,17065428,16934020,33084456,33100460,33116544,32916668,32921404

%N Peak values in A232221.

%C max{A232221(A232359(n)-1),A232221(A232359(n)+1)} < a(n).

%C First entry < 0: a(77) = -279411084.

%H Reinhard Zumkeller, <a href="/A232361/b232361.txt">Table of n, a(n) for n = 1..890</a>

%F a(n) = A232221(A232359(n)).

%e n = 17: A232359(17) = 3628, a(17) = 12778940:

%e A232221(3628) = 12778940, whereas A232221(3628-1) = 12778756 and A232221(3628+1) = 12778920 are both less than a(17), with altitude differences 184 and 20. Therefore a(17) is the altitude of a peak in A232221. It can be identified in oeis.org/A232221/graph as top of a foothill.

%e n = 461: A232359(461) = 373250, a(461) = -2419822248:

%e A232221(373250) = -2419822248, whereas A232221(373250-1) = -2419823140 and A232221(373250+1) = -2419823192 are both less than a(461), with altitude differences 892 and 944. Therefore a(461) is the altitude of a peak in A232221. It can be identified in Hans Havermann's third plot (< 1.5 million) as the below-axis peak under the 4 of 400000.

%o (Haskell)

%o a232361 n = a232361_list !! (n-1) -- a232361_list is defined in A232359.

%K sign

%O 1,1

%A _Reinhard Zumkeller_, Nov 24 2013

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)