A295786 a(n) = A173675(A025487(n)).

1, 1, 1, 4, 1, 8, 1, 14, 72, 1, 20, 22, 584, 1, 62, 32, 4016, 1, 132, 16880, 44, 45696, 276, 24656, 1, 336, 413484, 58, 11323440, 1006, 140624, 1, 688, 9044404, 74, 2384871120, 3610, 2480304, 761960, 1, 35281856, 1578, 68984506112, 4324, 183901520, 92, 446907448224, 12010, 677849536, 3976704, 1, 2683205048, 3190, 93749829120

Offset: 1

Author

David A. Corneth, Dec 25 2017

Keywords

• nonn

Comments

Terms in A173675 are only determined by their prime signature. A025487 gives the least positive integer having its prime signature. Combining these sequences removes a lot of duplicates making it somewhat easier to show terms.

a(54) = A284673(5) = 93749829120. - Andrew Howroyd, Oct 26 2019

Many terms from Kloczkowski & Jernigan's Table IV (which has A003752 as a column) show up in the Data section of this sequence. For the (partial) explanation of that, see Andrew Howroyd's comment in A173675. - Andrey Zabolotskiy, Aug 07 2023

Links

• David A. Corneth, Prime signatures for some k and the corresponding values for A173675(k).
• A. Kloczkowski and R. L. Jernigan, Transfer matrix method for enumeration and generation of compact self-avoiding walks. II. Cubic lattice, J. Chem. Phys., 109 (1998), 5147-5159.

Crossrefs

Cf. A025487, A173675.

Extensions

Terms a(29) and beyond from Andrew Howroyd, Oct 26 2019