A186024 Inverse of eigentriangle of triangle A085478.

1, -1, 1, -1, -1, 1, -1, -3, -1, 1, -1, -6, -5, -1, 1, -1, -10, -15, -7, -1, 1, -1, -15, -35, -28, -9, -1, 1, -1, -21, -70, -84, -45, -11, -1, 1, -1, -28, -126, -210, -165, -66, -13, -1, 1, -1, -36, -210, -462, -495, -286, -91, -15, -1, 1, -1, -45, -330, -924, -1287, -1001, -455, -120, -17, -1, 1

Offset

0,8

Comments

Row sums are A186025.

Links

Table of n, a(n) for n=0..65.

Formula

T(n,k)=if(k<n, -binomial(n+k-1,n-k-1), if(k=n,1,0)).

Example

Triangle begins
1,
-1, 1,
-1, -1, 1,
-1, -3, -1, 1,
-1, -6, -5, -1, 1,
-1, -10, -15, -7, -1, 1,
-1, -15, -35, -28, -9, -1, 1,
-1, -21, -70, -84, -45, -11, -1, 1,
-1, -28, -126, -210, -165, -66, -13, -1, 1,
-1, -36, -210, -462, -495, -286, -91, -15, -1, 1,
-1, -45, -330, -924, -1287, -1001, -455, -120, -17, -1, 1

Crossrefs

Cf. A129818, A109954, A220670, A123970, A085478, A165253.

Sequence in context: A096744 A180051 A160752 * A080002 A291722 A297672

Adjacent sequences: A186021 A186022 A186023 * A186025 A186026 A186027

Keyword

sign,tabl,easy

Author

Paul Barry, Feb 10 2011

Status

approved