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A323825 Number of ways of having a total of n coins in your two pockets (each of them either a penny, a nickel, a dime, or a quarter), so that the amounts in the pockets are identical. 1
1, 0, 4, 2, 12, 12, 34, 40, 85, 108, 190, 250, 394, 516, 762, 984, 1385, 1764, 2396, 2998, 3966, 4886, 6316, 7684, 9739, 11706, 14594, 17358, 21320, 25134, 30470, 35618, 42697, 49532, 58770, 67724, 79622, 91172, 106326, 121048, 140117, 158692, 182452, 205624 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Shalosh B. Ekhad and Doron Zeilberger, In How many ways can I carry a total of n coins in my two pockets, and have the same amount in both pockets?, arXiv:1901.08172 [math.CO], 2019.
FORMULA
Ekhad-Zeilberger (2019) gives a g.f.
CROSSREFS
Sequence in context: A227043 A143376 A111667 * A019239 A143944 A154345
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Feb 01 2019
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)