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A119652 Number of different values of <= n standard American coins (pennies, nickels, dimes and quarters). 0
4, 13, 27, 46, 69, 94, 119, 144, 169, 194, 219, 244, 269, 294, 319, 344, 369, 394, 419, 444, 469, 494, 519, 544, 569, 594, 619, 644, 669, 694, 719, 744, 769, 794, 819, 844, 869, 894, 919, 944, 969, 994, 1019, 1044, 1069, 1094, 1119, 1144, 1169, 1194, 1219 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..51.

EXAMPLE

If you have 1 coin you can have 4 different totals: 1, 5, 10 and 25. If you have 2 coins, you can have 10 totals: 2, 6, 10, 11, 15, 20, 26, 30, 35, 50. Notice that the same total appears twice: 10 is one dime and two nickels. Hence a(2) = 13.

MATHEMATICA

Join[{4, 13, 27, 46}, Range[69, 2000, 25]] (* Vladimir Joseph Stephan Orlovsky, Jun 15 2011 *)

CROSSREFS

Cf. A008607.

Sequence in context: A049729 A189581 A206804 * A147875 A108753 A024970

Adjacent sequences:  A119649 A119650 A119651 * A119653 A119654 A119655

KEYWORD

nonn

AUTHOR

Tanya Khovanova, Jul 28 2006

STATUS

approved

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Last modified June 29 01:30 EDT 2017. Contains 288855 sequences.