A344891 Divide the primes into subsets of lengths given by successive primes, then reverse the order of terms in each subset.

3, 2, 11, 7, 5, 29, 23, 19, 17, 13, 59, 53, 47, 43, 41, 37, 31, 107, 103, 101, 97, 89, 83, 79, 73, 71, 67, 61, 179, 173, 167, 163, 157, 151, 149, 139, 137, 131, 127, 113, 109, 271, 269, 263, 257, 251, 241, 239, 233, 229, 227, 223, 211, 199, 197, 193, 191, 181

Offset

1,1

Comments

Irregular triangle read by rows in which row n lists the next p primes in decreasing order, where p is the n-th prime, with n >= 1.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

Written as an irregular triangle in which row lengths give A000040 the sequence begins:
    3,   2;
   11,   7,   5;
   29,  23,  19,  17,  13;
   59,  53,  47,  43,  41,  37,  31;
  107, 103, 101,  97,  89,  83,  79,  73,  71,  67,  61;
  179, 173, 167, 163, 157, 151, 149, 139, 137, 131, 127, 113, 109;
  ...

Mathematica

Module[{nn=10, p}, p=Total[Prime[Range[nn]]]; Flatten[Reverse/@TakeList[ Prime[ Range[ p]], Prime[Range[nn]]]]] (* Harvey P. Dale, Sep 14 2022 *)

Crossrefs

Right border gives A180302.

Row lengths give A000040.

Row products give A119645.

Row sums give A034958.

Cf. A343809.

Sequence in context: A072656 A330313 A191669 * A163841 A276589 A275950

Adjacent sequences: A344888 A344889 A344890 * A344892 A344893 A344894

Keyword

nonn,tabf

Author

Paolo Xausa, Jun 01 2021

Status

approved