A356582T(n,k) is the number of degree n polynomials in GF_2[x] that have exactly k linear factors in their prime factorization when the factors are counted with multiplicity, n >= 0, 0 <= k <= n. Triangular array read by rows.
1, 0, 2, 1, 0, 3, 2, 2, 0, 4, 4, 4, 3, 0, 5, 8, …
The first 11 terms appear at position 299,607,826.
1415926535897932384626433…
…38327950288419716939937510582097494459230781640628…
…725359408128481117450284102701938521105559644622948…
…1413547357395231134271661021359695362314429524849371…
…88565888566513247302514710210575352516511814850902750…
…870333075787382108211292102103896165231228487920328037…
…8816759092890956878040781021032940121732018311306441577…
…76662980804320344406139110210322579280862441952310178110…
…357246841518226861289282102103220444983636950155573326679…
…3572468415182268612892821021032204449836369501555733266796…
…35724684151822686128928210210322044498363695015557332667963…
…357246841518226861289282102103220444983636950155573326679631…
| terms | string | first position | occurrences |
|---|---|---|---|
| 1 | 1 | 1 | 99,997,334 |
| 2 | 10 | 49 | 9,997,289 |
| 3 | 102 | 163 | 1,000,441 |
| 4 | 1021 | 2,749 | 99,862 |
| 5 | 10210 | 67,194 | 10,037 |
| 6 | 102103 | 386,261 | 1,079 |
| 7 | 1021032 | 8,026,133 | 97 |
| 8 | 10210322 | 184,879,590 | 9 |
| 9 | 102103220 | 299,607,826 | 3 |
| 10 | 1021032204 | 299,607,826 | 1 |
| 11 | 10210322044 | 299,607,826 | 1 |
| 12 | 102103220444 | 299,607,826 | 1 |
Searched the first 1,000,000,000 digits. Strings longer than 12 digits are not indexed.