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A359337 Irregular triangle read by rows: the n-th row gives the exponents of the powers of x corresponding to the maximal coefficient of the product x^2*(x^2 + x^3)*(x^2 + x^3 + x^5)*...*(x^2 + x^3 + x^5 + ... + x^prime(n)). 3
0, 2, 4, 5, 7, 12, 16, 17, 22, 24, 32, 42, 53, 65, 79, 96, 114, 134, 155, 180, 205, 233, 263, 294, 329, 364, 403, 442, 485, 529, 576, 625, 676, 729, 785, 842, 902, 964, 1029, 1097, 1167, 1238, 1313, 1390, 1469, 1552, 1636, 1723, 1813, 1904, 1999, 2096, 2195, 2298 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Conjecture: except for n = 2, 5, and 6, the rows have length equal to 1.
LINKS
EXAMPLE
The irregular triangle begins:
0;
2;
4, 5;
7;
12;
16, 17;
22, 24;
32;
42;
53;
65;
...
MATHEMATICA
b[n_]:=CoefficientList[Product[Sum[x^Prime[i], {i, k}], {k, n}], x]; Table[Position[b[n], Max[b[n]]]-1, {n, 0, 50}]//Flatten
CROSSREFS
Cf. A359338 (minimal exponent), A359339 (maximal exponent).
Sequence in context: A165196 A007062 A121817 * A116432 A050027 A123643
KEYWORD
nonn,tabf
AUTHOR
Stefano Spezia, Dec 27 2022
STATUS
approved

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Last modified May 25 03:08 EDT 2024. Contains 372782 sequences. (Running on oeis4.)