A065432 -id:A065432 - cp's OEIS frontend

A065441 Sum of absolute values of terms in n-th row of A065432.

1, 2, 3, 6, 10, 18, 27, 52, 88, 160, 260, 460, 812, 1450, 2583, 4428, 8044, 14586, 26750, 48620, 85308, 161818, 290636, 561766, 975812, 1917092, 3429272, 6762604, 12142280, 23670422, 43293371, 84125524, 156149184, 300299120, 564195466, 1084175906, 2053455978

Offset: 0

Wouter Meeussen, Nov 16 2001

nonn

Cf. A065432.

More terms from Sean A. Irvine, Sep 02 2023

A094184 Triangle read by rows in which each term equals the entry above minus the entry left plus twice the entry left-above.

Original entry on oeis.org

1, 1, 1, 1, 2, 0, 1, 3, 1, -1, 1, 4, 3, -2, 0, 1, 5, 6, -2, -2, 2, 1, 6, 10, 0, -6, 4, 0, 1, 7, 15, 5, -11, 3, 5, -5, 1, 8, 21, 14, -15, -4, 15, -10, 0, 1, 9, 28, 28, -15, -19, 26, -6, -14, 14, 1, 10, 36, 48, -7, -42, 30, 16, -42, 28, 0, 1, 11, 45, 75, 14, -70, 16, 60, -70, 14, 42, -42, 1, 12, 55, 110, 54, -96, -28, 120, -70, -56, 126, -84, 0, 1

Offset: 0

Wouter Meeussen, May 06 2004

Row sums are A086990 or A090412. (Superseeker finds that the j-th coefficient of OGF(A090412)(z)*(1-z)^j equals A049122). Same absolute values as A065432. Even rows end in 0, odd rows end in Catalan numbers (A000118) with alternating sign.

			Table starts {1},{1,1},{1,2,0},{1,3,1,-1},{1,4,3,-2,0},{1,5,6,-2,-2,2}

Cf. A086990, A090412, A049122, A009766, A065432, A065441.

T[, 0]:=1;T[0, 0]:=1;T[i, j_]/;j>i:=0;T[i_, j_]:=T[i, j]=T[i-1, j]-T[i, j-1]+2 T[i-1, j-1]

T(i, j)=T(i-1, j)-T(i, j-1)+2*T(i-1, j-1), with T(i, 0)=1 and T(i, j)=0 if j>i.

cp's OEIS Frontend

A065441 Sum of absolute values of terms in n-th row of A065432.

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A094184 Triangle read by rows in which each term equals the entry above minus the entry left plus twice the entry left-above.

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