Denomination sequence. Start with the 0th and first coins of value 1 cent: a(0)=a(1)=1. Thereafter a(n), the value of the n-th coin (n>=2), is the number of ways to make change for n cents in earlier coins. The two one-cent coins are considered distinct.

A151945

Denomination sequence. Start with the 0th and first coins of value 1 cent: a(0)=a(1)=1. Thereafter a(n), the value of the n-th coin (n>=2), is the number of ways to make change for n cents in earlier coins. The two one-cent coins are considered distinct.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =5a(4) =7a(5) =10a(6) =14a(7) =19a(8) =25a(9) =32a(10) =42a(11) =53a(12) =66a(13) =82a(14) =101a(15) =124a(16) =150a(17) =181a(18) =216a(19) =257a(20) =306a(21) =361a(22) =424a(23) =495a(24) =577a(25) =671a(26) =776a(27) =895a(28) =1029a(29) =1180

External references