a(n) is the number of compositions of n, b_1 + ... + b_t = n such that sqrt(b_1 + sqrt(b_2 + ... + sqrt(b_t)...)) is an integer.

A338271

a(n) is the number of compositions of n, b_1 + ... + b_t = n such that sqrt(b_1 + sqrt(b_2 + ... + sqrt(b_t)...)) is an integer.

Terms

    a(0) =1a(1) =0a(2) =0a(3) =2a(4) =0a(5) =2a(6) =0a(7) =2a(8) =2a(9) =4a(10) =2a(11) =6a(12) =2a(13) =8a(14) =4a(15) =14a(16) =6a(17) =20a(18) =8a(19) =28a(20) =14a(21) =44a(22) =20a(23) =66a(24) =30a(25) =96a(26) =46a(27) =146a(28) =70a(29) =220

External references