Original entry on oeis.org
4, 88, 7308, 1691024, 889922900, 927968206536, 1736907362701852, 5418843464230116352, 26603238870832186065636, 196293745325282121998886200, 2096654942154151785036724164524
Offset: 1
Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Nov 17 2001
A065747
Triangle of Gandhi polynomial coefficients.
Original entry on oeis.org
1, 1, 3, 3, 7, 30, 51, 42, 15, 145, 753, 1656, 1995, 1410, 567, 105, 6631, 39048, 100704, 149394, 140475, 86562, 34566, 8316, 945, 566641, 3656439, 10546413, 17972598, 20133921, 15581349, 8493555, 3246642, 841239, 135135, 10395
Offset: 1
Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Nov 16 2001
Triangle starts
1;
1, 3, 3;
7, 30, 51, 42, 15;
145, 753, 1656, 1995, 1410, 567, 105;
6631 ...
- Michael Domaratzki, Combinatorial Interpretations of a Generalization of the Genocchi Numbers, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.6.
- D. Dumont, Sur une conjecture de Gandhi concernant les nombres de Genocchi, (in French), Discrete Mathematics 1 (1972) 321-327.
- D. Dumont, Interprétations combinatoires des nombres de Genocchi, Duke Math. J., 41 (1974), 305-318.
- D. Dumont, Interprétations combinatoires des nombres de Genocchi, Duke Math. J., 41 (1974), 305-318. (Annotated scanned copy)
A065755
Triangle of Gandhi polynomial coefficients.
Original entry on oeis.org
1, 1, 5, 10, 10, 5, 31, 230, 755, 1440, 1760, 1430, 770, 260, 45, 6721, 60655, 250665, 628535, 1067865, 1299570, 1166945, 783720, 393855, 146025, 38500, 6630, 585, 5850271, 59885980, 285597890, 843288660, 1727996845, 2610132070, 3012643620
Offset: 1
Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Nov 17 2001
Irregular triangle begins:
1;
1, 5, 10, 10, 5;
31, 230, 755, 1440, 1760, 1430, 770, 260, 45;
6721, ...
-
B[X_, 1] := X^5; B[X_, n_] := B[X, n] = X^5 (B[X+1, n-1] - B[X, n-1]) // Expand; row[1] = {1}; row[n_] := List @@ B[X, n] /. X -> 1; Array[row, 5] // Flatten (* Jean-François Alcover, Jul 08 2017 *)
Showing 1-3 of 3 results.
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