STATUS
reviewed
approved
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Revision History for A261721
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
STATUS
proposed
reviewed
STATUS
editing
proposed
COMMENTS
The array as shown in A257200:
1, 5, 15, 35, 70, 126, 210, 330, ... A000332
1, 6, 20, 50, 105, 196, 336, 540, ... A002415
1, 7, 25, 65, 140, 266, 462, 750, ... A001296
1, 8, 30, 80, 175, 336, 588, 960, ... A002417
1, 9, 35, 95, 210, 406, 714, 1170, ... A002418
1, 10, 40, 110, 245, 476, 840, 1380, ... A002419
...
EXAMPLE
The array as shown in A257200:
1, 5, 15, 35, 70, 126, 210, 330, ... A000332
1, 6, 20, 50, 105, 196, 336, 540, ... A002415
1, 7, 25, 65, 140, 266, 462, 750, ... A001296
1, 8, 30, 80, 175, 336, 588, 960, ... A002417
1, 9, 35, 95, 210, 406, 714, 1170, ... A002418
1, 10, 40, 110, 245, 476, 840, 1380, ... A002419
...
STATUS
approved
editing
STATUS
reviewed
approved
STATUS
proposed
reviewed
STATUS
editing
proposed
DATA
1, 1, 5, 1, 6, 15, 1, 7, 20, 35, 1, 8, 25, 50, 70, 1, 9, 30, 65, 105, 126, 1, 10, 35, 80, 140, 196, 210, 1, 11, 40, 95, 175, 266, 336, 330, 1, 12, 45, 110, 210, 336, 462, 540, 495, 1, 13, 50, 125, 245, 406, 588, 750, 825, 715, 1, 14, 55, 140, 280, 476, 714, 960, 1155, 1210, 1001, 1
FORMULA
E.g.f. as array: exp(y)*(exp(x)*(24 + 24*(3 + x)*y + 36*(1 + x)*y^2 + 4*(1 + 3*x)*y^3 + x*y^4) - 4*(6 + 18*y + 9*y^2 + y^3))/24. - Stefano Spezia, Aug 15 2024
REFERENCES
Albert H. Beiler, "Recreations in the Theory of Numbers"; Dover, 1966, p. 195 (Table 80).
STATUS
approved
editing