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A102418 Table of coefficients of Product_{k=1..n} (1+x^A000120(k)). 1
1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 3, 1, 1, 3, 5, 7, 7, 5, 3, 1, 1, 3, 6, 10, 12, 12, 10, 6, 3, 1, 1, 3, 6, 11, 15, 18, 20, 18, 15, 11, 6, 3, 1, 1, 4, 9, 17, 26, 33, 38, 38, 33, 26, 17, 9, 4, 1, 1, 4, 10, 21, 35, 50, 64, 71, 71, 64, 50, 35, 21, 10, 4, 1, 1, 4, 11, 25, 45, 71, 99, 121, 135, 135, 121, 99, 71, 45, 25, 11, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
COMMENTS
Also table of coefficients of Product_{k=0..n} (1+x^A000120(k))/2.
Row sums are 2^n.
Row n has 1+A000788(n) elements.
LINKS
Amiram Eldar, Table of n, a(n) for n = 0..14638 (row 0..100)
EXAMPLE
Table begins:
1;
1, 1;
1, 2, 1;
1, 2, 2, 2, 1;
1, 3, 4, 4, 3, 1;
1, 3, 5, 7, 7, 5, 3, 1;
...
MATHEMATICA
row[n_] := CoefficientList[Product[1 + x^DigitCount[k, 2, 1], {k, 1, n}], x]; Table[row[n], {n, 0, 10}] // Flatten (* Amiram Eldar, Jul 22 2023 *)
CROSSREFS
Sequence in context: A033941 A053256 A336498 * A317989 A106032 A003646
KEYWORD
nonn,tabf
AUTHOR
Paul Barry, Jan 08 2005
STATUS
approved

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Last modified March 28 13:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)