Sum of largest parts (counted with multiplicity) in all compositions of n.

Terms

a(0) =1a(1) =4a(2) =10a(3) =24a(4) =53a(5) =118a(6) =253a(7) =542a(8) =1143a(9) =2396a(10) =4986a(11) =10330a(12) =21304a(13) =43808a(14) =89837a(15) =183838a(16) =375514a(17) =765880a(18) =1559979a(19) =3173794a(20) =6450514a(21) =13098246a(22) =26574968a(23) =53877266a(24) =109153818a(25) =221002456a(26) =447199458a(27) =904420716a(28) =1828192748a(29) =3693782678