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A111837
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Number of partitions of 8^n into powers of 8, also equals the row sums of triangle A111835, which shifts columns left and up under matrix 8th power.
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6
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1, 2, 10, 298, 53674, 58573738, 409251498922, 19046062579215274, 6071277235712979102634, 13531779463193107731083553706, 214224474679766323250278564215516074, 24390479071277895100812271376578637910371242, 20173309182842708837666031701435147789403500172143530
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = [x^(8^n)] 1/Product_{j>=0} (1-x^(8^j)).
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PROG
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(PARI) a(n, q=8)=local(A=Mat(1), B); if(n<0, 0, for(m=1, n+2, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i || j==1, B[i, j]=1, B[i, j]=(A^q)[i-1, j-1]); )); A=B); return(sum(k=0, n, A[n+1, k+1])))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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