A364719 -id:A364719 - cp's OEIS frontend

A364718 Numbers k such that d(k) > d(k+1) > d(k+2), where d(n) is the number of divisors of n.

45, 80, 81, 105, 165, 224, 225, 260, 261, 272, 315, 324, 345, 357, 384, 405, 435, 440, 441, 464, 465, 476, 477, 495, 512, 555, 560, 561, 567, 585, 594, 595, 620, 624, 627, 650, 651, 675, 704, 714, 715, 795, 800, 825, 836, 837, 855, 860, 861, 884, 885, 891, 896, 915

Offset: 1

Seiichi Manyama, Aug 04 2023

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Cf. A000005, A075029, A364657.

Cf. A074827, A364719, A364720.

isok(n) = numdiv(n)>numdiv(n+1) && numdiv(n+1)>numdiv(n+2);

A364720 Numbers k such that d(k) > d(k+1) > d(k+2) > d(k+3) > d(k+4), where d(n) is the number of divisors of n.

Original entry on oeis.org

28974, 28975, 39150, 39444, 39445, 44863, 60775, 64015, 68875, 71995, 75174, 79135, 79848, 79849, 91195, 103615, 113904, 113905, 118825, 126294, 141955, 143143, 148974, 149823, 150955, 154375, 160734, 160735, 160974, 161343, 167824, 171925, 177330, 181194, 181195

Offset: 1

Seiichi Manyama, Aug 04 2023

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Cf. A000005, A075029.

Cf. A074827, A364718, A364719.

Flatten@Position[Differences@# &/@Partition[DivisorSigma[0, Range@1000000],5,1], {?(# < 0 &) ..}] (* _Hans Rudolf Widmer, Mar 11 2024 *)

isok(n) = numdiv(n)>numdiv(n+1) && numdiv(n+1)>numdiv(n+2) && numdiv(n+2)>numdiv(n+3) && numdiv(n+3)>numdiv(n+4);

A364716 Numbers k such that d(k) < d(k+1) < d(k+2) < d(k+3), where d(n) is the number of divisors of n.

Original entry on oeis.org

61, 193, 277, 361, 397, 421, 457, 613, 757, 997, 1213, 1237, 1453, 1657, 1867, 1873, 1933, 2137, 2347, 2593, 2797, 2917, 3013, 3183, 3217, 3361, 3427, 3481, 3517, 3697, 3721, 3805, 4057, 4083, 4177, 4261, 4603, 4621, 4717, 4771, 4813, 4957, 5029, 5041, 5101, 5107, 5223

Offset: 1

Seiichi Manyama, Aug 04 2023

nonn

Cf. A000005, A075028, A364662, A364719.

Cf. A074775, A364715, A364717.

PARI
```
isok(n) = numdiv(n)
				
```

cp's OEIS Frontend

A364718 Numbers k such that d(k) > d(k+1) > d(k+2), where d(n) is the number of divisors of n.

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A364720 Numbers k such that d(k) > d(k+1) > d(k+2) > d(k+3) > d(k+4), where d(n) is the number of divisors of n.

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A364716 Numbers k such that d(k) < d(k+1) < d(k+2) < d(k+3), where d(n) is the number of divisors of n.

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