A373413 Sum of the n-th maximal run of squarefree numbers.

6, 18, 21, 42, 17, 19, 66, 26, 90, 102, 114, 126, 93, 51, 53, 55, 174, 123, 198, 210, 147, 234, 165, 258, 89, 91, 282, 97, 306, 318, 330, 342, 237, 245, 127, 390, 267, 414, 426, 291, 149, 151, 309, 474, 161, 163, 498, 170, 347, 534, 546, 558, 381, 582, 197

Offset: 1

Author

Gus Wiseman, Jun 05 2024

Keywords

• nonn

Comments

The length of this run is given by A120992.

A run of a sequence (in this case A005117) is an interval of positions at which consecutive terms differ by one.

Examples

			Row-sums of:
   1   2   3
   5   6   7
  10  11
  13  14  15
  17
  19
  21  22  23
  26
  29  30  31
  33  34  35
  37  38  39
  41  42  43
  46  47
  51
  53
  55
  57  58  59
		

Links

• Gus Wiseman, Four statistics for runs and antiruns of prime, nonprime, squarefree, and nonsquarefree numbers

Crossrefs

The partial sums are a subset of A173143.

Functional neighbors: A054265, A072284, A120992, A373406, A373411, A373414, A373415.

A005117 lists the squarefree numbers, first differences A076259.

A013929 lists the nonsquarefree numbers, first differences A078147.

Cf. A049093, A049095, A061398, A077641, A077643, A143658, A371201, A373123, A373125, A373126, A373197.

Programs

Mathematica

Total/@Split[Select[Range[100],SquareFreeQ],#1+1==#2&]//Most